Combine like terms to find X 7x+=9x-3

Mathematics

1 answer:

blondinia [14]3 years ago

4 0

Answer:x = -1.5

Step-by-step explanation:

Simplifying

7x + -9x = 3

Combine like terms: 7x + -9x = -2x

-2x = 3

Solving

-2x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5

You might be interested in

A new car worth $25,000 is depreciating (loses value) in value by $1,250 per year. Determine how many years will it take for the

Rudiy27

25,000 - 8,500 = 16,500

16,500 :1250 = 13 years and 2 months

6 0

3 years ago

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the firs

expeople1 [14]

Sorry for the delay!

Let x = charge before tax in 1st city, and y = charge before tax in 2nd city

y = $1500 + x

4/100x => tax in first city

3.5/100y => tax in second city

0.04x + 0.035y = $408.75

We have the following system of equations to solve:

$\begin{bmatrix}y=1500+x\\ 0.04x+0.035y=408.75\end{bmatrix}\\\\\mathrm{Substitute\:}y=1500+x\\\\begin{bmatrix}0.04x+0.035\left(1500+x\right)=408.75\end{bmatrix}\\\begin{bmatrix}0.075x+52.5=408.75\end{bmatrix}\\\\\ x = 4750\\\mathrm{For\:}y=1500+x\\\mathrm{Substitute\:}x=4750:\\\\y=1500+4750 = 6250$