Can you answer this math homework? Please!

To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.

4x-7y=28 [plug in y=-2]

4x-7(-2)=28 [multiply]

4x+14=28 [subtract both sides by 14]

4x=14 [divide both sides by 4]

x=3.5

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6x-5y=31 [plug in y=-2]

6x-5(-2)=31 [multiply]

6x+10=31 [subtract both sides by 10]

6x=21 [divide both sides by 6]

x=3.5

Now, we know the solution to the system is (3.5,-2).

amysun2025 amysun2025 · Answer 2 · 2021-07-17T01:03:57+02:00

Answer:

(3.5, -2)

Step-by-step explanation:

Hi there!

We are given a system of equations, and the value for y is already solved (y=-2)

We want to find the value of x

To do that, substitute -2 as y into either one of the equations in the system (the system has the equations 4x-7y=28 and 6x-5y=31) and solve for x

Let's use 4x-7y=28, although picking 6x-5y=31 is completely fine

Substitute -2 as y into the equation

4x-7(-2)=28

Multiply

4x+14=28

Subtract 14 from both sides

4x=14

Divide both sides by 4 and simplify

x=7/2, or 3.5

We found the value of x in the system

Substitute the values of x and y into a point form (x, y)

The solution is (3.5, -2)

Hope this helps!