Answer:
A. x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] and y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
y = 4x - 2 ; y = x + 3
1. UNDERSTAND what you are given.
- both equations solved for "y"
- when this is the case the easiest method is ALMOST ALWAYS SUBSTITUTION.
2. SUBSTITUTION METHOD means you replace one of the variables in terms of the other to start solving.
4x - 2 = x + 3 (write eq.)
3x - 2 = 3 (combine like terms: part 1)
3x = 5 (combine like terms: part 2)
x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] (inverse operations: division)
3. PLUG IN VALUE FOR X to solve for y. Pick the simpler equation.
y = x + 3 (pick an original equation, either will work)
y = [tex]\frac{5}{3}[/tex] + 3
y = [tex]\frac{5}{3}[/tex] + [tex]\frac{9}{3}[/tex]
y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]
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