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Tom [10]
3 years ago
9

Use substitution to solve each system of equations. y = 5x -2 3 x- 5y =4

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0
  • x = 3/11
  • y = -7/11

Step-by-step explanation:

y = 5x - 2…Equation 1

3x - 5y = 4…Equation 2

Subtitute value of y to Equation 2 :

3x - 5(5x - 2) = 4

3x - 25x + 10 = 4

-22x + 10 = 4

10 - 4 = 22x

6 = 22x

6/22 = x

<u>3/11 = </u><u>x</u>

Subtitute value of x to one of Equation :

for example Equation 2…

3x - 5y = 4

3(3/11) - 5y = 4

9/11 - 5y = 4

9/11 - 4 = 5y

(9 - 44)/11 = 5y

(-35)/11 = 5y

(-35)/11 × 1/5 = y

<u>-7/11 = y</u>

Mrrafil [7]3 years ago
3 0
3x - 5(5x - 2) = 4

3x - 25x + 10 = 4
-22x = 4 - 10
-22x = -6 ➗ -22
X = 3/11
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