Answer:
x = -4
Step-by-step explanation:
To make this easier to explain and easier to solve, we're going to first multiply the second equation of 9x-7y=-15 by -1 to make the y coefficient positive.
This results in -9x+7y=15.
When we line up the two equations on top of each other now, we'll see that both the first and second equations have opposite y coefficients, which is vital for elimination.
The next step is to add the second equation to the first one. Teachers may tell you to subtract, but I find it easier to add if you make the two y coefficients of negative value to each other.
4x-7y=5
+ -9x+7y=15
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-5x+0y=20, or just -5x=20, because you have successfully eliminated the y variable.
From there, you're going to solve like a normal equation (divide both sides by -5) toget you x=-4.
Area of triangle = 1/2 x base x height
base = 15 + 6 = 21
height = 8
Area of triangle = 1/2 x 21 x 8 = 84 in²
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Answer: Area = 84 in²
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You multiply $15 by 23 which is 345. Then you multiply 345 by 52 for there is 52 in a year. The answer $17940.
Answer:
GH = 15
Step-by-step explanation:
14. BC = 19
GH = 9x - 3
FE = 5x + 1
Given that GH is the midsegment of the trapezoid, therefore:
GH = (BC + FE)/2
Plug in the values
9x - 3 = (19 + 5x + 1)/2
9x - 3 = (20 + 5x)/2
Multiply both sides by 2
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 2
✔️GH = 9x - 3
Plug in the value of x
GH = 9(2) - 3 = 18 - 3
GH = 15
