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(Will give 15 points)Solve the system of linear equations by substitution. x + y = 7 and 7x + y = 1

Sagot :

Esther

Answer:

(-1, 8)

Step-by-step explanation:

Make y the subject:

x + y = 7 ⟹ y = -x + 7

1. Substitute the value for y into 7x + y = 1 and solve for x:

7x + (-x + 7) = 1

7x - x + 7 = 1

6x + 7 = 1

6x + 7 - 7 = 1 - 7

6x = -6

6x ÷ 6 = -6 ÷ 6

x = -1

2. Substitute the given value of x into x + y = 7 and solve for y:

x + y = 7

-1 + y = 7

-1 + 1 + y = 7 + 1

y = 8

Therefore, the solution to this system of equations is: (-1, 8).

Learn more here:

brainly.com/question/2648990

(-1,8) u sub in the y and x for the x