Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

6x+7y=4x+4y
Complete the missing value in the solution to the equation.

(◻,-4)

$6 x+7 y=4 x+4 y$ $\newline$ Complete the missing value in the solution to the equation. $\newline$ $(\square,-4)$

View step-by-step help

View step-by-step help

Does (x, y) satisfy the linear equation?

Full solution

Q.

6 x+7 y=4 x+4 y

\newline

Complete the missing value in the solution to the equation.

\newline

(\square,-4)

Isolate x terms: Subtract $4x$ from both sides of the equation to isolate terms with $x$ on one side. $\newline$ $6x + 7y - 4x = 4x + 4y - 4x$ $\newline$ This simplifies to: $\newline$ $2x + 7y = 4y$
Isolate y terms: Subtract $4y$ from both sides of the equation to isolate terms with $y$ on one side. $\newline$ $2x + 7y - 4y = 4y - 4y$ $\newline$ This simplifies to: $\newline$ $2x + 3y = 0$
Substitute $y$ : Substitute $y = -4$ into the simplified equation. $2x + 3(-4) = 0$ This simplifies to: $2x - 12 = 0$
Solve for x: Add $12$ to both sides of the equation to solve for x. $\newline$ $2x - 12 + 12 = 0 + 12$ $\newline$ This simplifies to: $\newline$ $2x = 12$
Find x value: Divide both sides of the equation by $2$ to find the value of x. $\newline$ $\frac{2x}{2} = \frac{12}{2}$ $\newline$ This simplifies to: $\newline$ $x = 6$

More problems from Does (x, y) satisfy the linear equation?

Question

(0, 4)

satisfy the equation

y = x

?

Posted 5 months ago

Question

Find the slope of the line

y = -4x + \frac{2}{5}

Posted 5 months ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

Posted 5 months ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or decimal or fraction, not as an ordered pair.

Posted 5 months ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

Posted 5 months ago

Question

Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Posted 5 months ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form.

Posted 5 months ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

Posted 5 months ago

Question

Determine the standard form of the following equation:

\newline

y = -10x + 7

Posted 5 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

Posted 5 months ago

Related topics

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