Solve. 7x − 10y = 20 y = –9 (_____, _____)

Substitute y value: We are given a system of equations: 7x − 10y = 20 y = –9 First, we will substitute the value of y in the first equation.Simplify equation: Substitute y = –9 into the first equation: 7x − 10(–9) = 20 Now, we will simplify the equation to find the value of x.Subtract to isolate x: Simplify the equation: 7x + 90 = 20 Next, we will subtract 90 from both sides of the equation to isolate the term with x.Divide to solve x: Subtract 90 from both sides: 7x + 90 - 90 = 20 - 90 7x = -70 Now, we will divide both sides by 7 to solve for x.Write ordered pair: Divide both sides by 7: 7x / 7 = -70 / 7 x = -10 We have found the value of x. Now we can write the ordered pair (x, y).

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Solve. $\newline$ $7x - 10y = 20$ $\newline$ $y = -9$ $\newline$ (_, _)

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Math Problems

Grade 8

Solve a system of equations using any method

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Q. Solve.

\newline

7x - 10y = 20

\newline

y = -9

\newline

(_____, _____)

Substitute y value: We are given a system of equations: $\newline$ $7x − 10y = 20$ $\newline$ $y = –9$ $\newline$ First, we will substitute the value of $y$ in the first equation.
Simplify equation: Substitute $y = -9$ into the first equation: $7x - 10(-9) = 20$ Now, we will simplify the equation to find the value of $x$ .
Subtract to isolate x: Simplify the equation: $\newline$ $7x + 90 = 20$ $\newline$ Next, we will subtract $90$ from both sides of the equation to isolate the term with $x$ .
Divide to solve $x$ : Subtract $90$ from both sides: $\newline$ $7x + 90 - 90 = 20 - 90$ $\newline$ $7x = -70$ $\newline$ Now, we will divide both sides by $7$ to solve for $x$ .
Write ordered pair: Divide both sides by $7$ : $\newline$ $\frac{7x}{7} = \frac{-70}{7}$ $\newline$ $x = -10$ $\newline$ We have found the value of $x$ . Now we can write the ordered pair $(x, y)$ .