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3 years ago

PLEASE HELP WITH 18 &19

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

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18 ) Go...

$(3x - 16) + (6x + 7) = 180$

Collect like terms

$9x - 9 = 180$

Add sides 9

$9x - 9 + 9 = 180 + 9$

$9x = 189$

Divide sides by 9

$\frac{9x}{9} = \frac{189}{9} \\$

$x = 21$

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$11y - 32 = 6x + 7$

$11y - 32 = 6(21) + 7$

$11y - 32 = 126 + 7$

$11y - 32 = 133$

Add sides 32

$11y - 32 + 32 = 133 + 32$

$11y = 165$

Divide sides by 11

$\frac{11y}{11} = \frac{165}{11} \\$

$y = 15$

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19 ) Go...

$8x - 14 = 5x + 34$

Add sides 14

$8x - 14 + 14 = 5x + 34 + 14 \\$

$8x = 5x + 48$

Subtract sides 5x

$- 5x + 8x = - 5x + 5x + 48$

$3x = 48$

Divide sides by 3

$\frac{3x}{3} = \frac{48}{3} \\$

$x = 16$

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$(5y + 16) + (8x - 14) = 180$

$5y + 16 + 8(16) - 14 = 180$

$5y + 16 + 128 - 14 = 180$

$5y + 130 = 180$

Subtract sides 130

$5y + 130 - 130 = 180 - 130$

$5y = 50$

Divide sides by 5

$\frac{5y}{5} = \frac{50}{5} \\$

$y = 10$

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Step-by-step explanation:

The "work" of solving by graphing is typing the equations into a graphing calculator and highlighting the point of intersection.

___

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