PART 2...Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination, etc], and give your answer in the form (x,y).
1.) The second equation is already solved for y, so this system can be solved with substitution.
7x + 2y = 4 y = -4x + 1
Substitute what y is equal to from the second equation into y of the first equation.
7x + 2(-4x + 1) = 4
7x - 8x + 2 = 4
-x + 2 = 4
-x = 2
x = -2
Now substitute x with -2 in the second original equation to find y.
y = -4x + 1
y = -4(-2) + 1
y = 8 + 1
y = 9
Solution: (-2, 9)
2.) The first equation has 3x. The second equation has -2x. Multiply the first equation by 2 and the second equation by 3 and add them to use the elimination method.
3x - 4y = 1 -2x + 3y = 1
6x - 8y = 2 -6x + 9y = 3 ----------------- y = 5
The first original equation has -4y, and the second original equation has 3y. Multiply the first equation by 3 and teh second by 4 and add them to eliminate y.
