Ihave only a few minutes longer- 20 points.

Answer

The solution for the two system of equations is (-4,2)

Explanation

Equation for slope-intercept

The equation for slope-intercept form is y = mx + b

-mx represents the slope of the equation

-b represents the y-intercept

Determine the slope and the y-intercept

The slope of the two equations can be found based on what the number in front of the x is, this term is also called the coefficient.

The y-intercept is in the form of b and is substituted normally by a positive or negative integer.

Slope: 1/4 and 2

Y-intercept: 3 and 10

You must graph these, for this problem I have provided one for you.

Determining the solution

Since this problem requires you to find the solution based on the graph you must graph the two lines and the solution is the point in which the two lines intersect.

Based on the graph I have provided for you, we can determine that the solution is (-4,2)

Checking your work

In math it's very important to check your work: plug in the solution and if it is a perfect math then the solution is correct.

The solution applies to the first equation, however we must now check for the second equation.

The solution also applies to the second equation, so we now know that this solution is correct.

a and c

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

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

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .