The solutions for each given equation are:x=9, n= -4, m=7, n= -3, x= -10 and c= 4.
An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=7x+2. Where:
a= the slope
b= the constant term that represents the y-intercept.
For the given example: a=7 and b=2.
The question asks the solution for each equation using the acronym PEMDAS that indicates the order of operations math.
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
4x - 7 = 29
4x=29+7
4x=36
x=36/4
x=9
5n + 9 = -11
5n=-11-9
5n=-20
n=-20/5
n=-4
6m - 15 = 27
6m=27+15
6m=42
m=42/6
m=7
-34 = 7n - 13
-7n=-13+34
-7n=21
n=21/-7
n=-3
3x + 12 = - 18
3x= -18-12
3x=-30
x=-30/3
x= -10
9 - 8c = -23
-8c=-23-9
-8c=-32
c=-32/-8
c=4
Read more about the linear equations here:
brainly.com/question/2030026
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