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murzikaleks [220]
2 years ago
10

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:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 2x + 5

y = -3x

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     -3x = 2x + 5
  2. Add 3x on both sides:         0 = 5x + 5
  3. Subtract 5 on both sides:    -5 = 5x
  4. Divide 5 on both sides:        -1 = x
  5. Rewrite:                                 x = -1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                     y = -3x
  2. Substitute in <em>x</em>:                        y = -3(-1)
  3. Multiply:                                   y = 3
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