Respuesta :

ghanami

Answer:

the system : 9x-3y =21

                   2x+3y = 12

Step-by-step explanation:

hello :

an system of equations has the same solutions as the system below

 the  system  3x-y=7

                     2x+3y=12

for exempl  :  3×(3x-y)=3×7

                     2x+3y)=12

means :

9x-3y =21

2x+3y = 12

6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as the system of equations 3x - y = 7, 2x + 3y = 12

What are system of equations?

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

Given system of equations

3x - y = 7........................(1)

2x + 3y = 12...................(2)

Multiply equation 1 with 2

2(3x - y) = 2 × 7

6x - 2y = 14

Subtract 6 from equation 2

2x + 3y - 6 = 12 - 6

2x + 3y - 6 = 6

So, 6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as 3x - y = 7,

2x + 3y = 12

Find out more information about system of equations here

https://brainly.com/question/9351049

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