Solve the following system of equations by substitution
2 answers:
Answer:
x = -3, y = -1
Step-by-step explanation:
In order to solve an equation using substitution you need to make one of the variables values opposite of one another. For example, 4's opposite would be -4. Moving on, we multiply the bottom equation by -2. That gives us y = -2x -4. We combine like values and the remaing equation is y = -1. Finally, we can insert our value;-1 = x +2. We do inverse operations and we are left with x = -3.
Answer:
(-1, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u>
</u> <u>Algebra I</u>
Terms/Coefficients Coordinates (x, y) Solving systems of equations using substitution/elimination Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x + 3
y = x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
Substitute in <em>y</em>: 2x + 3 = x + 2 [Subtraction Property of Equality] Subtract <em>x</em> on both sides: x + 3 = 2 [Subtraction Property of Equality] Subtract 3 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
Substitute in <em>x</em> [Original Equation]: y = -1 + 2 Add: y = 1
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