You Try: Solve for x and y by using elimination. 4x + y = 7 4x - 2y = -2​

Step-by-step explanation:

We are given this system of equations:

We use elimination to solve to eliminate one of the variables, so we only have to work with one at a time. We do this by adding and subtracting the equations, and sometimes multiplying the entire equation by a number.

Notice how both equations have a 4x. This means they can easily be eliminated, without multiplying the equations by another number first. Let's subtract the 2 equations.

The 4x will cancel because 4x-4x=0.

Since there are back to back negative signs, they become addition signs.

We are solving for y , so we must isolate the variable. It is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.

Now we can substitute 3 in for y in the original equations. Let's use the first one.

3 is being added to 4x. The inverse of addition is subtraction. Subtract 3 from both sides.

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

x is equal to 1 and y is equal to 3. Coordinate points are written as (x, y). The solution to this system of equations is (1, 3).