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14 votes
Solve the system of equations

help me show the steps

5x -2y = 88




3x+4y=58

User Wolff
by
4.4k points

2 Answers

6 votes

Answer:

( 18, -6.5 )

Explanation:

First choose which method you plan on using: Substitution or Elimation. I chose elimination based off preference.

How to solve using Elimination:

5x -2y = 88 (multiply every number in this equation by two)

3x+4y=58

10x -4y = 176

3x+4y=58 (combine these two equations)

13x = 234 (isolate x by dividing by 13 on both sides)

x = 18 (this is your value for x)

3(18) +4y=58 (plug in for x)

54+4y=28 (solve)

4y = -26 (subtract 54 from both sides)

y = -6.5 (this is y)

write answer in (x, y) format

( 18, -6.5 )

User Shantr
by
4.9k points
12 votes

Answer:

x=18

Explanation:

add 2y to both sides 5x=2y+88

subtract 88 from both sides 2y=5x-88

substitute 2y in the second equation for 5x-88

3x+10x-176=58

add like terms 13x-176=58

add 176 both sides

13x=234

x=18

User Daniel X Moore
by
4.2k points