Find the solution for this system of equations.
2 answers:
Answer:
x = 3, y = 1
Step-by-step explanation:
2x - 3y = 2 --- Equation 1
x = 6y - 5 --- Equation 2
Subsitute x = 6y - 5 into Equation 1:
2x - 3y = 2
2(6y - 5) - 3y = 2
Expand the brackets.
12y - 10 - 3y = 2
Evaluate like terms.
9y - 10 = 2
Isolate 9y.
9y = 2 + 10
= 12
Find y.
y = 12 ÷ 9
y = 1
y = 1
Substitute y = 1 into Equation 2:
x = 6y - 5
x = 6(1) - 5
= 8 - 5
x = 3
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