Question

Berta worked to solve a system of equations.4x + y = –5x – y = –5Step 1: ???Step 2: x = –2Step 3: 4(–2) + y = –5Step 4: –8 + y = –5Step 5: y = 3Berta determined that the solution is (–2, 3).Which could have been the equation Berta found in step 1?4x = 05x = 105x = –105x = –25

Answer 1

5x=-10

Explanation:

Answer 2

we have that
4x + y = –5--------> equation 1
x – y = –5 ---------> equation 2

step 1
Adds equation 1 and equation 2
4x + y = –5
x – y = –5
--------------------
(4x+x)=-5-5
5x=-10---------> equation in Step 1

step 2
find the value of x
x=-10/5
x=-2

step 3
substitute the value of x in the equation 1
4x + y = –5-------> 4*(-2)+y=-5

step 4
-8+y=-5

step 5
y=-5+8
y=3

the solution is (–2, 3)

therefore

the answer is
The equation in Step 1 is
5x=-10