Question

a system of two equations is shown below: equation c: a = 2b 7 equation d: a = 5b − 3 what value of a can be substituted into equation d to solve the system of equations? 2b 5b 5b − 3 2b 7

Answer 1

If you would like to know what value of a can be substituted into equation a = 5b - 3 to solve the system of equations, you can do this using the following steps:

equation c: a = 2b + 7
equation d: a = 5b - 3
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a = 5b - 3
2b + 7 = 5b - 3
7 + 3 = 5b - 2b
10 = 3b
b = 10/3

The correct result would be 2b + 7.

Answer 2

The value of a can be substituted into equation d to solve the system of equations is 41/3

System of equation

The system of equations consists of several equation with unknown variables.

Given the following parameters

a = 2b + 7

a = 5b- 3

Equate

2b + 7 = 5b - 3

Collect the like terms

2b -5b = -3-  7

-3b = -10

b = 10/3

Since a = 2b + 7
a = 2(10/3) + 7
a = 20/3 + 7
a = 41/3

Hence the value of a can be substituted into equation d to solve the system of equations is 41/3

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