Answer:
Option c is correct
One solution does the following system of equations have
Step-by-step explanation:
Given the system of equation:
\(2y = 5x+4\) ....[1]
\(y=3x+2\) ....[2]
Substitute equation [2] into [1] we have;
\(2(3x+2) = 5x+4\)
Using distributive property: \(a\cdot (b+c) = a\cdot b+ a\cdot c\)
\(6x+4 = 5x+4\)
Subtract 4 from both sides we have;
\(6x = 5x\)
Subtract 5x from both sides we have;
\(x = 0\)
Substitute this in equation [2] we have;
y = 3(0)+2
y = 2
Therefore, the solution of the given system of equation is: (0, 2)
