Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
Answer:
7a-28
Step-by-step explanation:
To expand this simply multiply both pieces of the inside by 7.
7a - 28
Answer:
12
Step-by-step explanation:
The GCF of 88 and 36 is 4 because 22 × 4 = 88 and 9 × 4 = 36.
Answer:
To ensure uniformity on an exam
Or
To test whether you can distinguish between the two formats
Step-by-step explanation:
Standard form is when a straight line equation is rearranged in the form:

Therefore y=2x+4 in standard form is

The slope-intercept form is when a a straight line equation is written in the form:

where m is the slope and c is the y-intercept.
The given equation is

This is already in slope-intercept form:
The standard form and slope-intercept forms are just formats.
Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.
You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.