Given the system of equations presented here: 4x + y = 4 2x + 7y = 28 which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? (5 points) multiply the second equation by −1 to get −2x − 7y = −28 multiply the second equation by −4 to get −8x − 28y = −112 multiply the first equation by −7 to get −28x − 7y = −28 multiply the first equation by −2 to get −8x − 2y = −8

multiply the first equation by - 7 to get - 28x - 7y = - 28

Step-by-step explanation:

This then results on  adding the 2 equations as

- 24x = 0 ⇒ x = 0 and y = 4

solution to system is (0, 4 )

multiply the first equatiom by -7 to get -28x -7y =-28

Step-by-step explanation:

4x + y = 4 (1)

2x + 7y = 28 (2)

multiply equation (1) by -7

-28x - 7y = -28 (3)

add equation (2) and (3)

-24x = 0

Divide bothside by 24

x =0

substitute x= 0 in equation(1)

4x +y = 4

4(0) + y = 4

y = 4

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

answer: your correct answer is b. d.

step-by-step explanation: