Answer:
(-1/2, 3/4)
Step-by-step explanation:
Let's use the elimination by adding or subtracting method. Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:
2(24x - 4y = -15) => 48x - 8y = -30
Now combine this result (this equation) with the first equation:
2x + 8y = 5
+48x -8y = -30
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50x = - 25
Dividing both sides by 50, to isolate x, we get
x = -25/50 = -1/2.
Now substitute -1/2 for x in the first equation and solve the resulting equation for y:
2x + 8y = 5
2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)
Dividing both sides of 8y = 6 by 8 leads to determining the value of y:
y = 6/8 = 3/4
The solution is (-1/2, 3/4).
Answer:
y=0.2x+29
Step-by-step explanation:
Given that:
y is the total monthly of the A Fee and Fee plan.
x is the number of monthly minutes used.
- If a customer uses 290 minutes, the monthly cost will be $87, we have the pair (290, 87)
- If the customer uses 980 minutes, the monthly cost will be $225, this is the coordinate pair (980, 225).
We want to obtain an equation in the form: y=mx+b
First, let us determine the slope, m
Given points (290, 87) and (980, 225):
<u>Slope</u>
Next, we determine the y-intercept, b.
Substituting the pair (290, 87) and m=0.2 in y=mx+b, we obtain
87=0.2(290)+b
b=87-0.2(290)=29
Therefore, our equation in the form y=mx+b is:
y=0.2x+29
So you need to use the distributive property. First, solve inside the parentheses. So, 8x times 4y is 32xy, then multiply that by 3 to get 96xy, now multiply 96xy by 2 to get your final answer of 192xy.
