4x-6-2y=4y+8x+2 2x+3=11 Consider the given system of equations. If (x,y) is the solution to the system, then what is the value of x+y ? Choose 1 answer: (A) -8 (B) 0 (c) 8 (D) There are no solutions to this system of equations.

Question

4x-6-2y=4y+8x+2  2x+3=11 Consider the given system of equations. If  (x,y) is the solution to the system, then what is the value of  x+y ? Choose 1 answer: (A) -8 (B) 0 (c) 8 (D) There are no solutions to this system of equations.

Bytelearn · Accepted Answer

Solve for x: First, let's solve the second equation for x. The equation is 2x + 3 = 11. Subtract 3 from both sides to isolate the term with x. 2x + 3 - 3 = 11 - 3 2x = 8 Now, divide both sides by 2 to solve for x. 2x / 2 = 8 / 2 x = 4Substitute x into first equation: Next, we substitute the value of x into the first equation to solve for y. The first equation is 4x - 6 - 2y = 4y + 8x + 2. Substitute x = 4 into the equation. 4(4) - 6 - 2y = 4y + 8(4) + 2 16 - 6 - 2y = 4y + 32 + 2 Simplify both sides. 10 - 2y = 4y + 34Get y terms on one side: Now, let's get all the y terms on one side and the constants on the other side. Add 2y to both sides and subtract 34 from both sides. 10 - 2y + 2y - 34 = 4y + 2y + 34 - 34 Combine like terms. -24 = 6y Now, divide both sides by 6 to solve for y. -24 / 6 = 6y / 6 y = -4Find x + y: Finally, we find the value of x + y. We have x = 4 and y = -4. x + y = 4 + (-4) x + y = 0

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