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How do you find the solution of the system of equations #x+y=7 # and #x-y=-3#?

Answer 1

Ethan Adkins

Solving by elimination and substitution:

#x+y = 7# #x-y = -3#

on adding the two equations #y# gets cancelled #x + cancel(y) = 7# #x - cancel(y) = -3#

#2x = 4# # x = 4/2 = 2#

substituting this value of #x# in equation 1:

#x + y = 7# # 2+ y = 7# # y = 7- 2# # y = 5#

the solution for the system of equations are : #color(blue)x=2# #color(blue)y=5#

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Answer 2

Hazel Anglin

To find the solution of the system of equations x + y = 7 and x - y = -3, you can use the method of substitution or elimination. Here, we'll use the method of elimination.

Add the two equations together to eliminate the variable y: (x + y) + (x - y) = 7 + (-3) Simplify: 2x = 4
Solve for x: x = 2
Substitute the value of x into one of the original equations to solve for y: 2 + y = 7 Subtract 2 from both sides: y = 5

So, the solution to the system of equations is x = 2 and y = 5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.