Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Find the solution of the system of equations. {:[-4x+3y=-19],[-4x+6y=-10](_________,________)":}$

Find the solution of the system of equations. $\newline$ $\begin{array}{l} -4 x+3 y=-19 \\ -4 x+6 y=-10 \end{array}$ $\newline$ (_,)

View step-by-step help

View step-by-step help

Write an equation word problem

Full solution

Q. Find the solution of the system of equations.

\newline

\begin{array}{l} -4 x+3 y=-19 \\ -4 x+6 y=-10 \end{array}

\newline

(_________,________)

Label Equations: First, let's label the equations for reference: $\newline$ Equation $1$ : $-4x + 3y = -19$ $\newline$ Equation $2$ : $-4x + 6y = -10$
Subtract Equations: Subtract Equation $1$ from Equation $2$ to eliminate $x$ : $(-4x + 6y) - (-4x + 3y) = -10 - (-19)$
Simplify Subtraction: Simplify the subtraction: $-4x + 6y + 4x - 3y = -10 + 19$
Combine Like Terms: Combine like terms: $3y = 9$
Divide to Solve for y: Divide both sides by $3$ to solve for y: $\newline$ y = $\frac{9}{3}$ $\newline$ y = $3$
Substitute $y$ into Equation: Now substitute $y = 3$ into Equation $1$ to solve for $x$ : $-4x + 3(3) = -19$
Multiply and Subtract: Multiply $3$ by $3$ : $-4x + 9 = -19$
Divide to Solve for x: Subtract $9$ from both sides: $\newline$ $-4x = -19 - 9$ $\newline$ $-4x = -28$
Divide to Solve for $x$ : Subtract $9$ from both sides: $\newline$ $-4x = -19 - 9$ $\newline$ $-4x = -28$ Divide both sides by $-4$ to solve for $x$ : $\newline$ $x = -28 / -4$ $\newline$ $x = 7$

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 8 months ago

Question

\newline

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

\newline

x =

Posted 9 months ago

Question

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

Posted 9 months ago

Question

\newline

2+2

\newline

Posted 1 month ago

Question

-27x+18y=54

Posted 3 months ago

Question

\newline

48.5-0.434=

Posted 10 months ago

Question

\newline

96.7-0.163=

Posted 10 months ago

Question

\newline

4.43-0.283=

Posted 10 months ago

Question

\newline

3.05-0.338=

Posted 10 months ago

Question

\newline

6.168-0.432=

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant