Solve using elimination. 5x + 9y = 8 8x + 9y = 2 (_____, _____)

Equations to Eliminate: System of equations: 5x + 9y = 8 8x + 9y = 2 Which variable should we eliminate? Both equations have the variable y with the same coefficient, so we will eliminate y.Operation for Elimination: System of equations: 5x + 9y = 8 8x + 9y = 2 Which operation should we use to eliminate y? Coefficients of y: 9 and 9 Since the coefficients are the same, we should subtract the second equation from the first.Subtract Equations: Subtract the second equation from the first to eliminate y. (5x + 9y) - (8x + 9y) = 8 - 2 5x - 8x + 9y - 9y = 6 -3x = 6Solve for x: Solve for x. Divide both sides of the equation by -3. (-3x) / -3 = 6 / -3 x = -2Substitute and Solve for y: Substitute x = -2 into the first equation 5x + 9y = 8. 5(-2) + 9y = 8 -10 + 9y = 8 Solve for y. 9y = 8 + 10 9y = 18Final Solution: Solve for y. Divide both sides of the equation by 9. 9y / 9 = 18 / 9 y = 2Coordinate Point: We found: x = -2 y = 2 Write the solution as a coordinate point. Solution: (-2, 2)

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Solve using elimination. $\newline$ $5x + 9y = 8$ $\newline$ $8x + 9y = 2$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using elimination

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Q. Solve using elimination.

\newline

5x + 9y = 8

\newline

8x + 9y = 2

\newline

(_____, _____)

Equations to Eliminate: System of equations: $\newline$ $5x + 9y = 8$ $\newline$ $8x + 9y = 2$ $\newline$ Which variable should we eliminate? $\newline$ Both equations have the variable $y$ with the same coefficient, so we will eliminate $y$ .
Operation for Elimination: System of equations: $\newline$ $5x + 9y = 8$ $\newline$ $8x + 9y = 2$ $\newline$ Which operation should we use to eliminate $y$ ? $\newline$ Coefficients of $y$ : $9$ and $9$ $\newline$ Since the coefficients are the same, we should subtract the second equation from the first.
Subtract Equations: Subtract the second equation from the first to eliminate $y$ . $(5x + 9y) - (8x + 9y) = 8 - 2$ $5x - 8x + 9y - 9y = 6$ $-3x = 6$
Solve for x: Solve for x. $\newline$ Divide both sides of the equation by -3＂).$\newline\$(-3x) / -3 = 6 / -3$$\newline$$x = -2$
Substitute and Solve for y: Substitute $x = -2$ into the first equation $5x + 9y = 8$.
$5(-2) + 9y = 8$
$-10 + 9y = 8$
Solve for y.
$9y = 8 + 10$
$9y = 18$
Final Solution: Solve for $y$.$\newline$Divide both sides of the equation by $9$.$\newline$$\frac{9y}{9} = \frac{18}{9}$$\newline$$y = 2$
Coordinate Point: We found:$\newline$$x = -2$$\newline$$y = 2$$\newline$Write the solution as a coordinate point.$\newline$Solution: $(-2, 2)$