What would your first step look like if you were solving this system using the substitution method? DO NOT include spaces in your answer.y=6x+10𝑦=6𝑥+10 −2x+3y=−18−2𝑥+3𝑦=−18 == Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.(( ,, )
Question
What would your first step look like if you were solving this system using the substitution method? DO NOT include spaces in your answer.y=6x+10𝑦=6𝑥+10 −2x+3y=−18−2𝑥+3𝑦=−18 == Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.(( ,, )
Solution
The first step in solving this system using the substitution method is to substitute y from the first equation into the second equation. The first equation is y = 6x + 10.
Substituting y into the second equation gives us -2x + 3(6x + 10) = -18.
Solving this equation:
-2x + 18x + 30 = -18 16x + 30 = -18 16x = -48 x = -3
Substituting x = -3 into the first equation gives us y = 6(-3) + 10 = -8.
So, the solution to the system of equations is (-3, -8).
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