Question

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

Answer 1

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

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

Find the value of a

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)

Answer 2

Answer:

(-13,-4)

Step-by-step explanation:

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