Which ordered pair is a solution of the equation? 7x-5=4y-6 Choose 1 answer: (A) Only (2,4) (B) Only (3,6) (C) Both (2,4) and (3,6) (D) Neither

Question

Which ordered pair is a solution of the equation?  7x-5=4y-6 Choose 1 answer: (A) Only  (2,4) (B) Only  (3,6) (C) Both  (2,4) and  (3,6) (D) Neither

Bytelearn · Accepted Answer

Rewrite equation in slope-intercept form: Rewrite the equation in slope-intercept form (y = mx + b) to make it easier to check the solutions. Start with the given equation: 7x - 5 = 4y - 6 Add 6 to both sides: 7x - 5 + 6 = 4y - 6 + 6 Simplify: 7x + 1 = 4y Divide both sides by 4 to solve for y: (7x + 1)/4 = y The equation in slope-intercept form is y = (7/4)x + 1/4Check solution with (2, 4): Check if the ordered pair (2, 4) is a solution by substituting x = 2 and y = 4 into the equation. Substitute into y = (7/4)x + 1/4: 4 = (7/4)*2 + 1/4 Calculate: 4 = (7/2) + 1/4 Find a common denominator and add: 4 = (14/4) + 1/4 Simplify: 4 = 15/4 Since 4 does not equal 15/4, the ordered pair (2, 4) is not a solution.Check solution with (3, 6): Check if the ordered pair (3, 6) is a solution by substituting x = 3 and y = 6 into the equation. Substitute into y = (7/4)x + 1/4: 6 = (7/4)*3 + 1/4 Calculate: 6 = (21/4) + 1/4 Find a common denominator and add: 6 = (21/4) + 1/4 Simplify: 6 = 22/4 Convert to an improper fraction: 6 = 5.5 Since 6 does not equal 5.5, the ordered pair (3, 6) is not a solution.

Which ordered pair is a solution of the equation? $\newline$ $7x-5=4y-6$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(2,4)$ $\newline$ (B) Only $(3,6)$ $\newline$ (C) Both $(2,4)$ and $(3,6)$ $\newline$ (D) Neither

Full solution

More problems from Does (x, y) satisfy the linear equation?

Related topics

Which ordered pair is a solution of the equation?\newline7x−5=4y−67x-5=4y-67x−5=4y−6\newlineChoose 111 answer:\newline(A) Only (2,4)(2,4)(2,4)\newline(B) Only (3,6)(3,6)(3,6)\newline(C) Both (2,4)(2,4)(2,4) and (3,6)(3,6)(3,6)\newline(D) Neither

Which ordered pair is a solution of the equation? $\newline$ $7x-5=4y-6$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(2,4)$ $\newline$ (B) Only $(3,6)$ $\newline$ (C) Both $(2,4)$ and $(3,6)$ $\newline$ (D) Neither