Question

What is the solution to this system of linear equations?

Answer 1

The answer is (-1,3)

This is how I got it:

I plugged in the x and y.

x=-1

y=3

so instead of y-4x=7, it is 3-4(-1)=7

2 negatives make a positive.

now I solve (3+4=7)

next equation is 2y+4x=2 do the same thing as in the first equation. and get 6+-4 and equals 2

so in this case, the answer is (-1,3)

Answer 2

Good morning Sonny

y-4x=7

2y+4x=2

We need to solve -4x+y=7 for y

Now let's start by adding 4x to both sides

-4x+y+4x=7+4x

y=4x+7

Now substitute 4x+7 for y in 4x+2y=2 so we can find the value for x

4x+2y=2

4x+2(4x+7)=2

12x+14=2

Add -14 to both sides

12x=14-14=2-14

12x=-12

Now divide 12 to both sides so we can find x

12x/12=-12/12

x=-1

Now we need to find the value for y by substitute -1 for x in y=4x+7

y=4x+7

y=(4)(-1)+7

y=3

Work done ;)

Answer : x=-1 and y=3

               (-1,3)

                D

I hope that's help :0