Answer:
Both of these equations are in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the y-intercept value.
y=-2x+5
y=-2x+20
The slope of the two equations are: m1=−2 and m2=−2
Step-by-step explanation:
Because the have the same slope it means the lines represented by these two equations are either parallel or are the same line.
The y-intercepts for the two lines are:b1 = 5 and b1=20
An answer to this would be y=- 1 over 3 x
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
Learn more about system of equations from here brainly.com/question/13729904
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Answer:
The first one
Step-by-step explanation:
Answer:
hope this helps!
Step-by-step explanation:
You have to divide:
1.9x10^-8 ÷ (4.2x10^-13)
= appr .45 x 10^5
= .45 x 100000
= appr 45,000 times as large
source: https://www.jiskha.com/questions/1857280/estimate-how-many-times-larger-1-9x10-8-is-than-4-2x10-13
credit: mathhelper
