Question

What is the solution to the system of equations? y = 2x – 3.5 x – 2y = –14

Answer 1

Answer:

C.(7, 10.5)

Step-by-step explanation:

we have the system of equations

--------> equation

--------> equation

Multiply by  equation

--------> equation

Adds equation   and equation

Find the value of y

the solution of the system is the point

which means

the answer is

C. (7, 10.5)

Answer 2

Reorganize the equations;
y  -2x   = -3.5
-2y+x = -14
Multiplying equation II by 2
y-2x    =   -3.5
-4y+2x= -28
----------------
-3y=24.5
y= $\frac{24.5}{-3}$
y= -8.17
Replacing value of y in equation 2;
-2(-8.17)-2x=-3.5
16.34-2x=-3.5
16.34+3.5=2x
19.84=2x
x=9.92