Let's solve your equation step-by-step.<span><span><span>−w</span>+<span>4<span>(<span>w+3</span>)</span></span></span>=<span>−12</span></span>Step 1: Simplify both sides of the equation.<span><span><span>−w</span>+<span>4<span>(<span>w+3</span>)</span></span></span>=<span>−12</span></span><span>Simplify: (Show steps)</span><span><span><span>3w</span>+12</span>=<span>−12</span></span>Step 2: Subtract 12 from both sides.<span><span><span><span>3w</span>+12</span>−12</span>=<span><span>−12</span>−12</span></span><span><span>3w</span>=<span>−24</span></span>Step 3: Divide both sides by 3.<span><span><span>3w</span>3</span>=<span><span>−24</span>3</span></span><span>w=<span>−8</span></span>Answer:<span>w=<span>−<span>8</span></span></span>
Let x = cups of 11% wheat, and y = cups of 63% wheat
He wants 12 cups in total, so we need:
x + y = 12
These 12 cups need to have 50% wheat, which means we are looking at 12*.5 = 6 cups of wheat in total, so our second equation is:
.11x + .63y = 6
We have two equations and two variables. So we can solve by using any means you want. I used substitution:
x = 12 - y
.11(12-y) + .63y = 6
1.32 -.11y + .63y = 6
.52y = 4.68
y = 9
Which means x = 3
Thus, 3 cups of 11% and 9 cups of 63%.
Answer: f(-2) = 10
Step-by-step explanation:
To fin f(-2), we must plug -2 in for x
y = -3x + 4
y = -3 (-2) + 4 = 6 + 4 = 10
9514 1404 393
Answer:
(x, y) = (-2, -1) or (2, 1)
Step-by-step explanation:
Substitute for x in the first equation:
(2y)^2 +3(2y)y = 10
10y^2 = 10
y^2 = 1
y = ±1
x = 2y = ±2
Solutions are (x, y) = (-2, -1) or (2, 1).