Solve the simultaneous equations using an algebraic method. x + 2y = 13 3x + y = 24

1 answer:

4 0

X=7, y=3
because it is an algebraic method you have to solve for an x or y in either equation, and then plug that into the other equation. it’s helpful for these problems to check your work and plug the numbers back into the equations and the end for future reference !

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d1i1m1o1n [39]

First answer 3l - 5 is how to represent his age

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Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?

gayaneshka [121]

Answer:

A: The x-intercept of k(x) is half the x-intercept of h(x)

Step-by-step explanation:

Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.

Hence answer choices B, C, and D can be eliminated.

The x-intercepts are found by setting y=0 and solving for x:

h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2

k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1

The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A