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15-11-2021
Mathematics

contestada

Solve the system of equations by substitution.
3/8x + 1/3y = 17/24
x + 7y = 8

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lunathemoonchild13 lunathemoonchild13

15-11-2021

Using the second equation, let’s find x

x + 7y = 8
x = 8 - 7y

Substitute x in the other equation

3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8y + 1/3y = 17/24
-55/24y = -55/24
y = 1

Plug in y in any equation

x + 7(1) = 8
x + 7 = 8
x = 1

x = 1 and y = 1

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