Answer:
3 3/16
Step-by-step explanation:
1 1/16+1 3/16+15/16=3 3/16
Answer:
x = 9, y = 2 is the solution of the given system.
Step-by-step explanation:
Here, the given set of equation is :
2 x - 3 y = 12
x = 4 y + 1
Now, from equation (2) we see that x = 4 y + 1.
Substitute the value of y from (2) in the first equation. we get:
2 x - 3 y = 12 ⇒ 2 (4 y + 1) - 3 y = 12
or, 8 y + 2 - 3 y = 12
or, 5 y = 12- 2 = 10
or, y = 10/ 5 = 2
or, y = 2
Now, x = 4 y + 1 ⇒ x = 4(2) + 1 = 8 + 1 = 9, or x = 9
Hence, x = 9, y = 2 is the solution of the given system.
Answer:
p = -3.5
Step-by-step explanation:
Simplifying
9 + -4(2p + -1) = 41
Reorder the terms:
9 + -4(-1 + 2p) = 41
9 + (-1 * -4 + 2p * -4) = 41
9 + (4 + -8p) = 41
Combine like terms: 9 + 4 = 13
13 + -8p = 41
Solving
13 + -8p = 41
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -8p = 41 + -13
Combine like terms: 13 + -13 = 0
0 + -8p = 41 + -13
-8p = 41 + -13
Combine like terms: 41 + -13 = 28
-8p = 28
Divide each side by '-8'.
p = -3.5
Simplifying
p = -3.5
Answer:
Step-by-step explanation:
Identify the slope, m. calculate slope between two known points of the line using the slope formula.
Find the y-intercept. substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
