Question

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

A.(–7, 3.5)
B.(3.5, –7)
C.(7, 10.5)
D. (10.5, 7)

Answer 1

C.(7, 10.5)

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=
`(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