what is the solution to the system of equations?\ny = -3x - 2\n5x + 2y = 15\n(-40, 19)\n(-19, 55)\n(19…
what is the solution to the system of equations?\ny = -3x - 2\n5x + 2y = 15\n(-40, 19)\n(-19, 55)\n(19, -40)\n(55, -19)
Answer
Explanation:
Step1: Substitute y in second equation
Substitute $y = - 3x - 2$ into $5x + 2y=15$. We get $5x+2(-3x - 2)=15$.
Step2: Expand and simplify
Expand the left - hand side: $5x-6x - 4 = 15$. Combine like terms: $-x-4 = 15$.
Step3: Solve for x
Add 4 to both sides: $-x=15 + 4$, so $-x = 19$, then $x=-19$.
Step4: Solve for y
Substitute $x = - 19$ into $y=-3x - 2$. So $y=-3\times(-19)-2=57 - 2=55$.
Answer:
B. (-19, 55)