The solution of the linear equations will be ( -2, 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
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y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
So for number 3, so for every 15 he earns, he saves 6 so
15:6=5:2
then he earns 75 and saves x
5 times what=75
5 times 15=75
2 times 15=30
so the ration is 75:30
he saved $30
then
write a real life proportion
so rob has a pattern to make,
for every 5 blue tiles, he puts down, he must put down 7 green tiles,
he needs to fill a sqare area that is 12 feet in legnth and width
each tile is 1 foot
how many blue tiles will he need
so 5+7=12
area=12 times 12
area=144
so the number of tiles is 144
so blue=5/12
so 144 times 5/12=60 blue tiles
Answer:
( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)(´;︵;`)
Answer:
V = 48 cubic units
Step-by-step explanation:
Use this equation to find the volume
Simplify the exponent
Multiply
V = 48 cubic units
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