y = 4x - 8
y = 2x + 10
The substitution means to:
Find the intersection point of their graphs, which is the common solution of this linear system of equations:
4x - 8 = 2x + 10
2x = 18
x = 9
y = 4(9) - 8 = 36 - 8 = 28 or
y = 2(9) + 10 = 28
Thus the solution is (9, 28)
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2x-y=3 2/3x-y=-1
2x+7y=29 x=37-8y
Mathematical substitution is the process of using one equation to solve for multiple variables. For example: Equation 1: x + y = 4 Equation 2: 2x + y = 16 Using equation 1, solve for y: y = 4 - x <-- Plug this into equation 2. This is substitution because you are replacing y in equation 2 with what y is equal to in equation 1. 2x + y = 16 ----> 2x + (4 - x) = 16 Now you can solve for x: x + 4 = 16; x = 12 You can then substitute the value of x back into the equation that is solved for y: y = 4 - 12; y = -8 Check both equations: Equation 1: -8 + 12 = 4; 4 = 4 (Correct) Equation 2: 2(12) + (-8) = 16; 24 - 8 = 16; 16 = 16 (Correct) We have successfully used substitution to solve for two different variables, x and y.
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5x^2+2x-30=0 x=[-2±√(4+600)]/10 x=(-2±√604)/10 x=(-2±2√151)/10 x=(-1±√151)/5