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# 0=24-9y+x -10y=-9x-26 solve by elimination

solve each system by elimination

### 2 Answers by Expert Tutors

Michael V. | Great Tutor in Multiple SubjectsGreat Tutor in Multiple Subjects
1
Solve by elimination
0 = 24 - 9y + x
-10y = -9x - 26
• First we have to choose which variable to eliminate;
let's eliminate x
• Then we should rearrange both equations so y is on the left side
9y = x + 24
-10y = -9x - 26
• In order to eliminate x the x term in the top equation added to the x term in the bottom equation must equal zero. This is called the additive inverse.
• To do this we can multiply the entire top equation by 9.
9(9y = x + 24)
81y = 9x + 216
• Now we combine the top equation with the bottom equation
81y =  9x + 216
-10y = -9x   - 26
71y =  0x + 190
• Next we divide both sides by 71 to solve for 7
71y = 190
71y/71 = 190/71
y = 190/71
• Now we can substitute our y value into the top equation to solve for x
0 = 24 - 9y + x
0 = 24 - 9(190/71) + x
0 = 24 - 1710/71 + x
• Multiply 24 by 71/71 so we can combine like terms
0 = 24(71/71) - 1710/71 + x
0 = 1704/71 - 1710/71 + x
0 = -6/71 + x
• Finally, we add 6/71 to each side to solve for x
0 + 6/71 = -6/71 + x + 6/71
x = 6/71
• With this problem we should check our answers with both equations

0 = 24 - 9y + x
0 = 24(71/71) - 9(190/71) + 6/71
0 = 1704/71 - 1710/71 + 6/71
0 = -6/71 + 6/71
0 = 0

-10y = -9x - 26
-10(190/71) = -9(6/71) - 26(71/71)
-1900/71 = -54/71 - 1846/71
-1900/71 = -1900/71

x = 6/71   y = 190/71

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
-1
Just separate numbers.

0 = 24 +9y + x

-10 Y = -9x -26

9(X - 9y = = -24)
-9x +10Y = 26
-71 Y = 9( -24) + 26

Y = 190/71

X = 9y -24 = 6/71