Solve the system of equations. {:[7x+10 y=36],[y=2x+9],[x=◻],[y=◻]:}

Substitute Equations: Substitute the second equation into the first equation. We have y = 2x + 9. We can substitute this into the first equation to eliminate y and solve for x. 7x + 10(2x + 9) = 36Combine Terms: Distribute and combine like terms. 7x + 20x + 90 = 36 27x + 90 = 36Isolate Variable: Isolate the variable x. Subtract 90 from both sides of the equation to isolate the term with x. 27x + 90 - 90 = 36 - 90 27x = -54Solve for x: Solve for x. Divide both sides by 27 to find the value of x. 27x / 27 = -54 / 27 x = -2Substitute x for y: Substitute the value of x into the second equation to solve for y. We have y = 2x + 9 and x = -2. y = 2(-2) + 9Calculate y: Calculate the value of y. y = -4 + 9 y = 5

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Solve the system of equations.

{:[7x+10 y=36],[y=2x+9],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} 7 x+10 y=36 \\ y=2 x+9 \\ x=\square \\ y=\square \end{array}$

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Algebra 1

Solve a system of equations using substitution

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Q. Solve the system of equations.

\newline

\begin{array}{l} 7 x+10 y=36 \\ y=2 x+9 \\ x=\square \\ y=\square \end{array}

Substitute Equations: Substitute the second equation into the first equation. $\newline$ We have $y = 2x + 9$ . We can substitute this into the first equation to eliminate $y$ and solve for $x$ . $\newline$ $7x + 10(2x + 9) = 36$
Combine Terms: Distribute and combine like terms. $\newline$ $7x + 20x + 90 = 36$ $\newline$ $27x + 90 = 36$
Isolate Variable: Isolate the variable $x$ . $\newline$ Subtract $90$ from both sides of the equation to isolate the term with $x$ . $\newline$ $27x + 90 - 90 = 36 - 90$ $\newline$ $27x = -54$
Solve for x: Solve for x. $\newline$ Divide both sides by $27$ to find the value of $x$ . $\newline$ $\frac{27x}{27} = \frac{-54}{27}$ $\newline$ $x = -2$
Substitute $x$ for $y$ : Substitute the value of $x$ into the second equation to solve for $y$ . We have $y = 2x + 9$ and $x = -2$ . $y = 2(-2) + 9$
Calculate $y$ : Calculate the value of $y$ . $y = -4 + 9$ $y = 5$