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megkate
27.04.2020 •
Mathematics
Which pair of figures shows a dilation with a scale factor of 1 1/2 centered at the origin?
A. Figures GHI and JKL
B. Figures ABC and DEF
C. Figures QRS and TRU
D. Figures MNP and VMW
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Ответ:
The solution set is (-20/9, -95/9)
Step-by-step explanation:
To solve using the substitution method, start by solving the second equation for y.
1/3y = 7/3x + 5/3
y = 7x + 5
Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.
-4x - 2(7x + 5) = 30
-4x - 14x - 10 = 30
-18x - 10 = 30
-18x = 40
x = -20/9
Now that we have the value of x, we can solve for y by inputting the x value into either equation.
-4x - 2y = 30
-4(-20/9) - 2y = 30
80/9 - 2y = 30
80/9 - 2y = 270/9
-2y = 190/9
y = -95/9