Question

What is the solution of the system of equations shown below?

y = –x + 3
y = 4x – 2

A. (0, 3)
B. (1, 2)
C. (2, 1)
D. (0, −2)

Answer 1

B. (1, 2)

Explanation:

YEP!! YOUR ANSWER IS B (1, 2)

Putting (1) into (2)

-x + 3 = 4x - 24x + x = 3 + 2

5x = 5

x = 5/5

x = 1

And putting x = 1 in (1)

y = -x + 3

y = -1 + 3

y = 2

Answer 2

B. (1,2)

Explanation:

y = –x + 3.......(1)

y = 4x – 2.......(2)

Putting (1) into (2)

-x + 3 = 4x - 2

4x + x = 3 + 2

5x = 5

x = 5/5

x = 1

And putting x = 1 in (1)

y = -x + 3

y = -1 + 3

y = 2