Question

The value of X in a system

Answer 1

Try turning each of these equation into slope-intercept form.

\(\LARGE\bf{3x+2y=8}\)
Subtract 3x.

\(\LARGE\bf{2y = -3x + 8}\)
Divide by 2.

\(\LARGE\bf{y=\frac{3}{2}x+4}\)
~~~~~

\(\LARGE\bf{2x+3y=2}\)
Subtract 2x.

\(\LARGE\bf{3y=2x + 2}\)
Divide 3.

\(\LARGE\bf{y = -\frac{2}{3}x+\frac{2}{3}}\)

Answer 2

My mistake i ment to say i now its not C

Answer 3

What is the value of the x variable in the solution to the following system of equations?

3x + 2y = 8
2x + 3y = 2

4
−2
x can be any number as there are infinitely many solutions to this system
There is no x value as there is no solution to this system

Answer 4

Ok so lets solve this by using substitution.

Since the first equation is already in slope-intercept form we would plug that in to the second equation.

\(\huge\bf{2x+3(-\frac{3}{2}x+4)=2}\)

Simplify.

Answer 5

So it would Be B?

Answer 6

@563blackghost

Answer 7

Not quite.

\(\huge\bf{2x+3(-\frac{3}{2}x+4)=2}\)

Distribute.

\(\huge\bf{2x-\frac{9}{2}x+12=2}\)

Combine.

\(\huge\bf{-\frac{5}{2}x + 12 = 2}\)

Subtract 12.

\(\huge\bf{-\frac{5}{2}x=-10}\)
Divide `-5/2`

\(\huge\bf{x=4}\)

Answer 8

Sorry took so long to reply.

Answer 9

thanks