{:[y=2x],[3x+y=20]:} The given system of equations has solution (x,y). What is the value of x ? Choose 1 answer: (A) 4 (B) 5 (C) 8 (D) 20

Write Equations: Write down the given system of equations. We have the following system of equations: y = 2x (Equation 1) 3x + y = 20 (Equation 2) We need to find the value of x.Substitute y: Substitute the value of y from Equation 1 into Equation 2. Since y = 2x, we can replace y in Equation 2 with 2x to get: 3x + 2x = 20Combine Terms: Combine like terms. 3x + 2x = 5x So, the equation becomes: 5x = 20Solve for x: Solve for x. Divide both sides of the equation by 5 to isolate x: 5x / 5 = 20 / 5 x = 4

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{:[y=2x],[3x+y=20]:}
The given system of equations has solution
(x,y). What is the value of
x ?
Choose 1 answer:
(A) 4
(B) 5
(C) 8
(D) 20

The given system of equations has solution $\newline$ $(x,y)$ . What is the value of $\newline$ $x$ ? $\newline$ Choose $1$ answer: $\newline$ $\text{(A)}\ 4$ $\newline$ $\text{(B)}\ 5$ $\newline$ $\text{(C)}\ 8$ $\newline$ $\text{(D)}\ 20$

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Math Problems

Grade 8

Write an equation word problem

Full solution

Q. The given system of equations has solution

\newline

(x,y)

. What is the value of

\newline

x

\newline

Choose

1

answer:

\newline

\text{(A)}\ 4

\newline

\text{(B)}\ 5

\newline

\text{(C)}\ 8

\newline

\text{(D)}\ 20

Write Equations: Write down the given system of equations. $\newline$ We have the following system of equations: $\newline$ $y = 2x$ (Equation $1$ ) $\newline$ $3x + y = 20$ (Equation $2$ ) $\newline$ We need to find the value of $x$ .
Substitute $y$ : Substitute the value of $y$ from Equation $1$ into Equation $2$ . $\newline$ Since $y = 2x$ , we can replace $y$ in Equation $2$ with $2x$ to get: $\newline$ $3x + 2x = 20$
Combine Terms: Combine like terms. $\newline$ $3x + 2x = 5x$ $\newline$ So, the equation becomes: $\newline$ $5x = 20$
Solve for x: Solve for x. $\newline$ Divide both sides of the equation by $5$ to isolate x: $\newline$ $\frac{5x}{5} = \frac{20}{5}$ $\newline$ $x = 4$