What is the solution to the system of equations? y = 12x + 2 2y = x + 4

x=0, y=2. (0, 2).

Step-by-step explanation:

y=12x+2

2y=x+4

2(12x+2)=x+4

24x+4=x+4

24x-x=4-4

23x=0

x=0/23

x=0

y=12(0)+2

y=0+2

y=2

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.