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3 years ago

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40
[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18
Multiply: -5y + 32 = -18
[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
[Division Property of Equality] Divide -5 on both sides: y = 10

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3 years ago

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liraira [26]

Answer:

$D. (3,-1)$

Step-by-step explanation:

$x + y = 2 \: \: \: \: \: \: ..(1) \\ 2x - y = 7 \: \: \: \: ..(2)$

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$x = 2 - y$

now,

$put \: \: \: \: x = 2 - y \: \: \: in \: (2)$

we get,

$2(2 - y) - y = 7 \\ 4 - 2y - y = 7 \\ 4 - 3y = 7 \\ - 3y = 7 - 4 \\ - 3y = 3 \\ \\ y = \frac{3}{( - 3)} \\ \\ y = - 1$

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3 years ago

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58​

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58