Question - Solving Linear Equations by Substitution
Solution:
To solve the system of linear equations by substitution, you'll need to follow these steps:1) y = 6x - 112) -2x - 3y = -7We're given y in terms of x in the first equation, which we can use to substitute for y in the second equation.Substitute y in the second equation using the expression from the first equation:-2x - 3(6x - 11) = -7Now, expand and simplify the second equation:-2x - 18x + 33 = -7Combine like terms:-20x + 33 = -7Now, isolate x by moving 33 to the other side of the equation:-20x = -7 - 33-20x = -40Divide by -20 to find x:x = -40 / -20x = 2Now that you have the value of x, you can substitute it back into the first equation to solve for y:y = 6(2) - 11y = 12 - 11y = 1The solution to the system of equations is x = 2 and y = 1.
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