Solve using substitution. –9x + 8y = –15 y = 6 (_____, _____)

Substitute y = 6: Substitute y = 6 into the equation –9x + 8y = –15 and then simplify. This gives us –9x + 8(6) = –15.Calculate 8 times 6: Calculate 8 times 6 to find the value that will replace 8y. This gives us 48. So the equation becomes –9x + 48 = –15.Solve for x: Solve for x in the equation –9x + 48 = –15. To do this, first subtract 48 from both sides of the equation to isolate the term with x. This gives us –9x = –15 – 48.Divide by -9: Calculate –15 – 48 to find the value that will be equal to –9x. This gives us –63. So the equation becomes –9x = –63.Calculate x = 7: Divide both sides of the equation –9x = –63 by –9 to solve for x. This gives us x = –63 / –9.Write coordinate point: Calculate –63 / –9 to find the value of x. This gives us x = 7.We found that x = 7 and y = 6. Write the solution as a coordinate point. The coordinate point is (7, 6).

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Solve using substitution. $\newline$ $-9x + 8y = -15$ $\newline$ $y = 6$ $\newline$ (_, _)

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Algebra 2

Solve a system of equations using substitution

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Q. Solve using substitution.

\newline

-9x + 8y = -15

\newline

y = 6

\newline

(_____, _____)

Substitute $y = 6$ : Substitute $y = 6$ into the equation $–9x + 8y = –15$ and then simplify. This gives us $–9x + 8(6) = –15$ .
Calculate $8 \times 6$ : Calculate $8 \times 6$ to find the value that will replace $8y$ . This gives us $48$ . So the equation becomes $–9x + 48 = –15$ .
Solve for x: Solve for x in the equation $-9x + 48 = -15$ . To do this, first subtract $48$ from both sides of the equation to isolate the term with $x$ . This gives us $-9x = -15 - 48$ .
Divide by $-9$ : Calculate $–15 – 48$ to find the value that will be equal to $–9x$ . This gives us $–63$ . So the equation becomes $–9x = –63$ .
Calculate $x = 7$ : Divide both sides of the equation $–9x = –63$ by $–9$ to solve for $x$ . This gives us $x = –63 / –9$ .
Write coordinate point: Calculate $-63 / -9$ to find the value of x. This gives us $x = 7$ .
Write coordinate point: Calculate $-63 / -9$ to find the value of $x$ . This gives us $x = 7$ .We found that $x = 7$ and $y = 6$ . Write the solution as a coordinate point. The coordinate point is $(7, 6)$ .