{:[3x-4y=10],[2x-4y=6]:} If (x,y) satisfies the given system of equations, what is the value of y ? Choose 1 answer: (A) (1)/(10) (B) (1)/(2) (C) (16)/(5) (D) 4

Question

{:[3x-4y=10],[2x-4y=6]:} If  (x,y) satisfies the given system of equations, what is the value of  y ? Choose 1 answer: (A)  (1)/(10) (B)  (1)/(2) (C)  (16)/(5) (D) 4

Bytelearn · Accepted Answer

Write Equations: Write down the system of equations. We have the following system of equations: 3x - 4y = 10 2x - 4y = 6Eliminate y: Subtract the second equation from the first equation to eliminate y. (3x - 4y) - (2x - 4y) = 10 - 6 This simplifies to: 3x - 2x - 4y + 4y = 10 - 6Simplify Result: Simplify the result of the subtraction. x = 4 We have found the value of x.Substitute x: Substitute the value of x into one of the original equations to solve for y. Let's use the first equation: 3x - 4y = 10 Substitute x = 4: 3(4) - 4y = 10Solve for y: Solve for y. 12 - 4y = 10 Subtract 12 from both sides: -4y = 10 - 12 -4y = -2Find y Value: Divide both sides by -4 to find the value of y. y = (-2) / (-4) y = 1/2

$3x-4y=10 \\ 2x-4y=6$ $\newline$ If $(x,y)$ satisfies the given system of equations, what is the value of $y$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{10}$ $\newline$ (B) $\frac{1}{2}$ $\newline$ (C) $\frac{16}{5}$ $\newline$ (D) $4$

Full solution

More problems from Write an equation word problem

Related topics

3x−4y=102x−4y=63x-4y=10 \\ 2x-4y=63x−4y=102x−4y=6\newline If (x,y)(x,y)(x,y) satisfies the given system of equations, what is the value of yyy?\newline Choose 111 answer:\newline (A) 110\frac{1}{10}101​\newline (B) 12\frac{1}{2}21​\newline (C) 165\frac{16}{5}516​\newline (D) 444

$3x-4y=10 \\ 2x-4y=6$ $\newline$ If $(x,y)$ satisfies the given system of equations, what is the value of $y$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{10}$ $\newline$ (B) $\frac{1}{2}$ $\newline$ (C) $\frac{16}{5}$ $\newline$ (D) $4$