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bearhunter [10]
3 years ago
15

2x+3y=4

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

we have

2x+3y=4 -----> equation A

2x-5y=-12  -----> equation B

Solve the system by elimination

Multiply both sides equation A by -1

-1(2x+3y)=-1(4)

-2x-3y=-4-----> equation C

Adds equation C and equation B

-2x-3y=-4\\2x-5y=-12\\------\\-3y-5y=-4-12\\-8y=-16\\y=2

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

substitute the value of y in either equation

2x+3(2)=4\\2x+6=4\\2x=-2\\x=-1

The solution is the point (-1,2)

In this problem Option A,B and C are correct

The option D not result in a system with a pair of opposite terms

because

Multiply both sides of equation B by -3

-3(2x-5y)=-3(-12)

-6x+15y=36  -----> equation C

Multiply both sides of equation A by 55(2x+3y)=5(4)

10x+15y=20  ----> equation D

so

equation C and equation D not have a pair of opposite terms

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