Enter the value of x that makes the equation 5+3x-37=6x+23-8x

Mathematics

2 answers:

fredd [130]2 years ago

8 0

Answer:

x=11

Step-by-step explanation:

5+3x-37=6x+23-8x

add like terms

-32+3x=-2x+23

add 2x to both sides

-32+3x+2x=23

add 32 to both sides

3x+2x=23+32

add like terms

5x=55

divide by 5 on both sides

x=11

Tamiku [17]2 years ago

6 0

Answer:

x=-7

Step-by-step explanation:

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2 years ago

a cook has 2 2/3 cup of flour. a recipe calls for 2 3/4 cups of flour. does the cook have enough flour? if not, how much more fl

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3 years ago

I need help 6x-2y=10 x-2y=-5 solve by elimination

dem82 [27]

<h3><u>Explanation</u></h3>

Given the system of equations.

$\begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}$

Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

$\begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}$

There as we can get rid of the y-term by adding both equations.

$(6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3$

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

$x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4$