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nadezda [96]
4 years ago
8

Which ordered pair (a, b) is a solution to the given system of linear equations? -2a+3b=14

Mathematics
2 answers:
Stels [109]4 years ago
6 0

Answer:

The solution of the system is the ordered pair (-13,-4)

Step-by-step explanation:

we have

-2a+3b=14 -----> equation A

a-4b=3 ----> equation B

Solve the system by elimination

Multiply by 2 both sides equation B

2(a-4b)=2(3)

2a-8b=6 ----> equation C

Adds equation A and equation C

-2a+3b=14\\2a-8b=6\\-------\\3b-8b=14+6\\-5b=20\\b=-4

<em>Find the value of a</em>

substitute the value of b in any equation (i take equation B)

a-4(-4)=3

a+16=3

a=-13

therefore

The solution of the system is the ordered pair (-13,-4)

cestrela7 [59]4 years ago
3 0

Answer:

(-13,-4)

Step-by-step explanation:

Trust Me, took the test

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