Please help. What is the solution to the system of equations below?
y = 3x – 2
X + y = 6
2 answers:
Answer:
A. (2, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
<u>Algebra I</u>
Solving systems of equations using substitution/elimination Solving systems of equations by graphing Step-by-step explanation:
<u>Step 1: Define systems</u>
y = 3x - 2
x + y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
Substitute in <em>y</em>: x + 3x - 2 = 6 Combine like terms: 4x - 2 = 6 Add 2 to both sides: 4x = 8 Divide 4 on both sides: x = 2
<u>Step 3: Solve for </u><em><u>y</u></em>
Define original equation: x + y = 6 Substitute in <em>x</em>: 2 + y = 6 Subtract 2 on both sides: y = 4
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
Answer:
A. (2,4)
Step-by-step explanation:
use the substitution method.
for the second equation, subtract x on both sides to get y = 6-x
substitute that into the first equation
6 - x = 3x - 2
add x on both sides: 6 = 4x-2
add 2 on both sides: 4x = 8
divide by 4: x = 2
y = 6-2 = 4
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