x + 2y = 3

3x - 2y = 5

What is the solution to the system of equations?

A(4, 3.5)
B(2, 1/2)
C(2, -1)
D(1/2, 2)

Question

01-03-2017
Mathematics

Answered

x + 2y = 3

3x - 2y = 5

What is the solution to the system of equations?

A(4, 3.5)
B(2, 1/2)
C(2, -1)
D(1/2, 2)

Verified Answer :

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AlexisAPinette AlexisAPinette · Answer 1 · 2017-03-01T10:32:32-05:00

AlexisAPinette AlexisAPinette

01-03-2017

You could plug them all in... but a faster way:

add the 2 equations together.

You would get:
4x = 8 (the 2y and -2y cancel out)
x = 2

Plug x back into one of the equations.
x + 2y = 3
2 + 2y = 3
2y = 1
y = 1/2

So... B (2, 1/2)

Answer Link

x + 2y = 33x - 2y = 5What is the solution to the system of equations? A(4, 3.5) B(2, 1/2) C(2, -1) D(1/2, 2)

Verified Answer :

Related Questions

x + 2y = 3

3x - 2y = 5

What is the solution to the system of equations?

A(4, 3.5)
B(2, 1/2)
C(2, -1)
D(1/2, 2)