Use substitution to solve each system of equations.
y = 5x -2
3 x- 5y =4
2 answers:
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>
3x - 5(5x - 2) = 4
3x - 25x + 10 = 4
-22x = 4 - 10
-22x = -6 ➗ -22
X = 3/11
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