Mathematics: What is the solution to? 7x – 2y = 18 —4x + 3y = –14 • (-2, 2) • (1, 6) • (4, 5) • (2, - 2)

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What is the solution to? 7x – 2y = 18 —4x + 3y

Ответ:

tatejordan02

11.10.2021

Mathematics

(2, -2)

Step-by-step explanation:

Solve 7x - 2y = 18 for x:

(Add 2y to both sides) 7x = 2y + 18

$\frac{7x}{7} = \frac{2y+18}{7}$ (Divide both sides by 7) $x = \frac{2}{7}y+\frac{18}{7}$

Substitute 2/7y+ 18/7 for x in -4x + 3y = -14

$-4(\frac{2}{7}y+\frac{18}{7})+3y=-14$ $\frac{13}{7}y-\frac{72}{7}=-14$ (Simplify both sides of the equation) $\frac{13}{7}y-\frac{72}{7}+\frac{72}{7} =-14+ \frac{72}{7}$ (Add 72/7 to both sides) $\frac{13}{7}y=\frac{-26}{7}$ $\frac{13}{7}y*\frac{7}{13}=\frac{-26}{7} * \frac{7}{13}$ y = -2

Substitute -2 for y in x = 2/7y + 18/7

$x = \frac{2}{7}y + \frac{18}{7}$ $x = \frac{2}{7}(-2) + \frac{18}{7}$ x = 2

(Simplify both sides of the equation)

Given that x = 2 and y = -2, the point is: (2, -2)

Therefore, the solution is (2, -2).

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What is the solution to? 7x – 2y = 18

—4x + 3y = –14

• (-2, 2)
• (1, 6)
• (4, 5)
• (2, - 2)

Ответ:

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