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How is everyone's day going? Mine is okay can u help me on this question?

Solve the following system of equations. 8x +y = 23= −10x - y = −27
x=
y=

User Kazinov
by
5.5k points

2 Answers

11 votes

Answer:

x = 2 and y = 7

Explanation:

We are given two equations:

1. 8x + y = 23

2. −10x - y = −27

By adding both equations with each other we get:

(1.+2.) -2x = -4

Which can be reduced to:

(1.+2. : (-2)) x = 2

We can insert x in Equation 1. (or 2) and get:

8*2 + y = 23

16 + y = 23 [-16 on both sides]

y = 7

Resulting in x = 2 and y = 7 as a possible solution for this system.

User Yokoloko
by
5.8k points
3 votes

Answer:

Explanation:

8x + y = 23

-10x - y = -27

-2x = -4

x = 2

8(2) + y = 23

16 + y = 23

y = 7

(2, 7)

User Samuel Edwin Ward
by
4.9k points