Henrique began to solve a system of linear equations using the linear combination method. his work is shown below: 3(4x – 7y = 28) → 12x – 21y = 84 –2(6x – 5y = 31) → –12x + 10y = –62 12x – 21y = 84 + –12x + 10y = –62 –11y = 22 y = –2 complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equations to find the value of x. what is the solution to the system?

henrique began to solve a system of linear equations using the linear combination method:

given the system of equation :

multiply equation [1] by 3 to both sides we have;

⇒                  

multiply equation [2] by -2 to both sides we have;

⇒              

add equation [3] and [4] to eliminate x and solve for y:

divide both sides by -11 we have;

y = -2

substituting the   value of y into equation [1] to solve for x.

⇒

subtract 14 from both sides we have;

divide both sides by 4 we have;

x = 3.5

therefore, the solution to the system is, (3.5, -2)