Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the solution to the system by the substitution method. Check your answers.

{:[3x+4y=10],[x+2y=-2]:}

Find the solution to the system by the substitution method. Check your answers. $\newline$ $\begin{array}{r} 3 x+4 y=10 \\ x+2 y=-2 \end{array}$

View step-by-step help

View step-by-step help

Write an equation word problem

Full solution

Q. Find the solution to the system by the substitution method. Check your answers.

\newline

\begin{array}{r} 3 x+4 y=10 \\ x+2 y=-2 \end{array}

Solve for x: Step $1$ : Solve the second equation for x. $\newline$ Given equation: $x + 2y = -2$ $\newline$ Solve for x: $x = -2 - 2y$
Substitute $x$ : Step $2$ : Substitute $x$ in the first equation. $\newline$ Substitute $x = -2 - 2y$ into $3x + 4y = 10$ : $\newline$ $3(-2 - 2y) + 4y = 10$ $\newline$ $-6 - 6y + 4y = 10$ $\newline$ $-2y = 16$
Solve for y: Step $3$ : Solve for y. $\newline$ Divide both sides by $-2$ : $y = -8$
Substitute $y$ into $x$ : Step $4$ : Substitute $y$ back into the equation for $x$ . $x = -2 - 2(-8)$ $x = -2 + 16$ $x = 14$
Check solution: Step $5$ : Check the solution by substituting $x$ and $y$ back into the original equations. $\newline$ Check in first equation: $3(14) + 4(-8) = 42 - 32 = 10$ $\newline$ Check in second equation: $14 + 2(-8) = 14 - 16 = -2$ $\newline$ Both checks are correct.

More problems from Write an equation word problem

Question

Write the sentence as an equation.

\newline

138

is equal to the quotient of

w

30

\newline

/

) if you want to use a division sign.

\newline

Posted 2 months ago

Question

\newline

(\frac{2}{7})x= -14

\newline

x =

Posted 3 months ago

Question

(\frac{8}{5})x= 32

Posted 3 months ago

Question

\newline

2+2

\newline

Posted 3 days ago

Question

-27x+18y=54

Posted 4 months ago

Question

\newline

48.5-0.434=

Posted 4 months ago

Question

\newline

96.7-0.163=

Posted 4 months ago

Question

\newline

4.43-0.283=

Posted 4 months ago

Question

\newline

3.05-0.338=

Posted 4 months ago

Question

\newline

6.168-0.432=

Posted 4 months ago