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2 years ago

Solve the system. y = 2x + 5 y=-3x What is the solution?

Mathematics

2 answers:

Alexxx [7]2 years ago

8 0

Answer:

x=−1 and y=3 or (-1,3)

WORK:

Let's solve your system by substitution.

y=2x+5;y=−3x

Step: Solve y=2x+5 for y:

y=2x+5

Step: Substitute 2x+5 for y in y=−3x:

y=−3x

2x+5=−3x

2x+5+3x=−3x+3x (Add 3x to both sides)

5x+5=0

5x+5+−5=0+−5(Add -5 to both sides)

5x ÷ 5 = -5÷5 (divide both sides with 5)

x=−1

Step: Substitute −1 for x in y=2x+5:

y=2x+5

y=(2)(−1)+5

y=3(Simplify both sides of the equation)

Answer:

x=−1 and y=3

(Incase you needed to show your work)

Hope this helps :)

sineoko [7]2 years ago

3 0

Answer:

(-1, 3)

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
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 5

y = -3x

Step 2: Solve for x

Substitution

Substitute in y: -3x = 2x + 5
Add 3x on both sides: 0 = 5x + 5
Subtract 5 on both sides: -5 = 5x
Divide 5 on both sides: -1 = x
Rewrite: x = -1

Step 3: Solve for y

Define equation: y = -3x
Substitute in x: y = -3(-1)
Multiply: y = 3

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