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erik [133]
3 years ago
12

Estimate the solution to the system of equations.

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Answer:

<em>x = 4 / 3, y = 7 / 3</em>

Step-by-step explanation:

We are given the following system of equations;

{ 7x - y = 7,      ⇒        Let us multiply the first equation by 2,

x + 2y = 6 }

2 * ( 7x - y = 7 )  ⇒  14x - 2y = 14  ⇒  Now add the two equations

+ x + 2y = 6           + x  + 2y = 6                          

14x + x = 14 + 6 ⇒ Simplify

15x = 20,

<em>x = 4 / 3</em> ⇒ Now substitute this value of x into the first equation to solve for the value of y,

7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,

28 / 3 - y = 7,

y = 7 / 3

<em>Solution; x = 4 / 3, y = 7 / 3</em>

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Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.
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Step-by-step explanation:

From the question, we get the ratio of :

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Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.

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