Answer:
C. (0.4, 2.9)
Explanation:
One way is to solve the simultaneous equations algebraically.
(1) y = -3x +4
(2) y = 5x+1 Subtract Equation (1) from Equation (2)
0 = 8x - 3 Add 3 to each side
3 = 8x Divide each side by 8
x = 3/8 Convert to a decimal
x = 0.375 Substitute x into Equation (2)
y = 5(3/8) + 1 Remove parentheses
y = 15/8 + 1 Combine terms
y = 23/8 Convert to a decimal
y = 2.875
The exact solution is (0.375, 2.875).
The approximate solution is (0.4, 2.9).
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Alicia could also plot the two graphs and note their point of intersection.
Her approximate solution is the green point at (0.4, 2.9).
