Answer:
c=5
Step-by-step explanation:
5s + 3c = 50
s+c=12
5(12-c) + 3c=50
60-5c+3c=50
60-2c=50
-2c=-10
c=5
Answer:
y1= 0, y2= 5/3
Step-by-step explanation:
Remove the parentheses and multiply
then cancel the equal terms
collect the lie terms
move the variables to one side
divide both sides by two
split into possible cases
then solve the equation to get
y= 0 and
y= 5/3
Answer:
(3, - 1)
Step-by-step explanation:
5x - 4y = -11
2x + 3y = -9
Multiply the top equation by 2 and the bottom equation by - 5 to cancel out the x's.
10x - 8y = - 22
- 10x - 15y = 45
Cancel out x's.
-8y = - 22
- 15y = 45
Add like terms.
- 23y = 23
Can't have a negative variable to flip them.
-23 = 23y
Divide.
y = - 1
Input y into one of the equations and solve for x.
2x + 3(-1) = -9
Simplify.
2x -3 = -9
Cancel out -3 by adding 3.
2x = -6
Divide.
x - -3
16 - 5(3t - 4) = 8(-2t + 11) <em>use distributive property</em>: <em>a(b + c) = ab + ac</em>
16 - (5)(3t) - (5)(-4) = (8)(-2t) + (8)(11)
16 - 15t + 20 = -16t + 88
36 - 15t = -16t + 88 <em>subtract 36 from both sides</em>
-15t = -16t + 52 <em>add 16t to both sides</em>
t = 52
The only equation that works with x=-6 is A
