Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.
Answer:
x = 8 or x = 2
Step-by-step explanation:
We know x - 5 = 3 or x - 5 = -3.
<u>Possibility 1:</u>
Step 1: Add 5 to both sides.
<u>Possibility 2:</u>
Step 1: Add 5 to both sides.
Step 2: Check if both solutions apply to original equation.
Answer:
y = 1.25
Step-by-step explanation:
Use the direct variation equation y = kx, and solve for k:
y = kx
-10 = k(40)
-0.25 = k
So, the equation is y = -0.25x. Solve for y when x = -5
y = -0.25x
y = -0.25(-5)
y = 1.25
So, y = 1.25 when x = -5
