Excel is a powerful tool and is very renowned for data analysis and solving large calculations. In several mathematics problems and calculations, we need to solve 2 equations with 2 unknowns. Excel is very handy to use in this regard. If you are looking for ways to do this, you have landed in the perfect place. In this article, I will show you two effective methods to solve 2 equations with 2 unknowns in Excel.

## How to Solve 2 Equations with 2 Unknowns in Excel: 2 Examples

Say, you have 2 equations with 2 unknowns x and y. The equations are as follows:

**2x + y = 8**

**3x – 2y = 5**

Now, you can follow any of the two methods given below to solve these equations.

### 1. Combine MMULT and MINVERSE Functions

The most effective and quickest method for solving two equations with 2 unknowns is to combine the **MMULT** and** MINVERSE** functions. Follow the steps below to do this.

**📌 Steps:**

- First and foremost, select the
**D13**and**D14**cells.

- Following, insert the formula below to solve the equations.

`=MMULT(MINVERSE(B8:C9),E8:E9)`

- Subsequently, press
**Ctrl + Shift + Enter**to get your desired result.

Thus, your equations with two unknowns will be solved, and you will get the solutions in D13 and D14 cells. For example, the output should look like this.

**Note:**

Here, you must press **Ctrl + Shift + Enter** to get your desired result. Because it is an array formula. If you press Enter only, the formula wonâ€™t work properly, and you won’t get your proper result.

Read More: How to Solve Polynomial Equation in Excel

### 2. Using Solver Add-In in Excel

Another smart way to solve 2 equations with 2 unknowns is to use the Excel Solver add-in. Go through the steps below to accomplish this.

**📌**** Step 1: Installing Solver Add-In**

- Generally, Solver doesn’t remain in any tab initially. Rather, you need to add it from the Excel add-in section.
- In order to do this, first, you need to go to the
**File**tab.

- Afterward, choose the
**Options**option from the expanded**File**tab.

- At this time, the
**Excel Options**window will appear. - Now, go to the
**Add-ins**tab from the window >> select the**Solver Add-in**option >> click on the**Goâ€¦**button.

- As a result, the
**Add-ins**window will appear now. - Following, tick the
**Solver Add-in**option from the window and click on the**OK**button.

Thus, the **Solver** tool will be added to the **Data** tab.

**📌**** Step 2: Preparing the Dataset in Proper Format to Solve Functions**

Now for calculating using the **Solver** tool, at first you will need to assume the unknownsâ€™ values and calculate the functionsâ€™ values.

- To do this, we set the X and Y values as 1 and 1. As a result, the values of the functions would be 3 and 1 respectively. But the required values are 8 and 5.
- Now, record these assumed values calculated function values, and required values of the functions in the Excel file.

**📌**** Step 3: Using Solver to Get Results**

Now, you can finally get the values of the two unknowns.

- Initially, go to the
**Data**tab >>**Solver**tool.

- As a result, the
**Solver Parameters**window will appear. - Now, at the
**Set Objective:**text box, refer to cell**C12**. - Afterward, At the
**To:**options list put the radio button on the**Value Of:**option and write**8**in the text box beside this option. - Following, at the
**By Changing Variable Cells:**text box, refer to**C8:C9**cells. - Subsequently, for setting the constraints, click on the Add button at the
**Subject to the Constraints:**group.

- Consequently, the
**Add constraint**dialogue box will appear. - At the
**Cell Reference**text box, refer to the**C12**cell. - Following, choose
**equal sign (=)**from the dropdown list and refer to the**D12**cell in the**Constraint:**text box. - Last but not least, click on the
**OK**button.

- Repeat the previous 5 steps to add another equationâ€™s constraint.
- Afterward, the
**Solver Parameters**window will look like the following. - Here, choose the
**Simplex LP**option from the**Select a Solving Method:**options. - Subsequently, click on the
**Solve**button.

- As a result, the
**Solver Results**window will appear informing you that it found a solution. - Here, put the radio button on the
**Keep Solver Solution**option and click on the**OK**button.

Consequently, your equations with 2 unknowns will be solved, and the following results will be shown in the C8:C9 cells. For instance, the result would look like this.

Read More: How to Solve an Equation for X When Y is Given in ExcelÂ

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## Conclusion

To conclude, in this article, I have shown you 2 effective methods to solve two equations with two unknowns in Excel. I suggest you read the full article carefully and apply the knowledge to your needs. You can also download our free workbook to practice. I hope you find this article helpful and informative. If you have any further queries or recommendations, please feel free to comment here.

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