In order to combine, you have to multiply the top equation by 2
so you get
8g + 10h = 8
8g - 10h = 4
---------------
16g = 12
g = 3/4 --> plug it in to solve for h
8(3/4)-10h = 4
6-10h=4
10h=2
h=1/5
Your result: g=3/4, h=1/5
The y-intercept is (0, -37/7).
Explanation:
When you have one point and the slope of a line you can find its equation by using the point-slope form of the linear function:
m = slope
point = (a, b)
point-slope equation: (y - b) = m (x - a).
Now substitute m = -1/7 and (a,b) = (5, - 6)
y - (-6) = -1/7 (x - 5)
Solve for y:
y + 6 = - 1/7 ( x - 5)
7y + 7(6) = - (x - 5)
7y + 42 = - x + 5
7y = - x + 5 - 42
7y = - x - 37
y = -(1/7)x - 37/7 ← this is the slope-intercept form of the equation.
The y-intercept is the point when x = 0. So, the corresponding y-coordinate is the constant term in the last equation:
y = 0 - 37/7 = - 37/7
And the y-intercept is the point (0, -37/7).
Answer:
1) -8h and 4h
2) 3t and 7t
3) -4e and 3e
4) -2b and b
Step-by-step explanation:
They all have the same variable as the other in the pair. There aren't any other variables added or exponents.
answer is
<span>Triangle PQR is similar to triangle TSR because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5</span>