Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
⇒ -7x - (8x + 16) = -1
⇒ -7x - 8x - 16 = -1
⇒ -15x = 15
⇒ x = -1
⇒ y = 8(-1) + 16 = 8
⇒ Solution = <u>(-1, 8)</u>
<u></u>
<u>Question 2</u>
⇒ 3x + 4(-3x - 18) = 0
⇒ 3x - 12x - 72 = 0
⇒ -9x = 72
⇒ x = -8
⇒ y = -3(-8) - 18 = 6
⇒ Solution = <u>(-8, 6)</u>
<u>Question 3</u> (not clear)
<u>Question 4</u>
⇒ -8x - 7(6x) = 0
⇒ -8x - 42x = 0
⇒ -50x = 0
⇒ x = 0
⇒ y = 6(0) = 0
⇒ Solution = <u>(0, 0)</u>
<u>Question 8</u>
- 2x - 6y = -14
- y = -5x - 19
⇒ 2x - 6(-5x - 19) = -14
⇒ 2x + 30x + 114 = -14
⇒ 32x = -128
⇒ x = -4
⇒ y = -5(-4) - 19 = 1
⇒ Solution = <u>(-4, 1)</u>
Answer:
y = x - 5
Step-by-step explanation:
Given the equation
y = x + ?
We are being asked what value is added to x to give y
Consider the table, that is
x = 1 → y = - 4
x = 2 → y = - 3
x = 3 → y = - 2
x = 4 → y = - 1
x = 5 → y = 0
x = 6 → y = 1
In each case 5 is being subtracted from x to obtain y, that is
y = x - 5 ← equation relating x and y
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula
and substitute values for
,
, and
. From there, we can convert the equation into slope-intercept form.
Since
represents the slope, substitute 1 in its place. Since
and
represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

748 inches... You do know there's a meter to inches converter online, right?