Answer:
x=8 and y=3 (So, yes!)
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
−x+4y=4;−x+3y=1
Step: Solve −x+4y=4 for x:
−x+4y+−4y=4+−4y(Add -4y to both sides)
−x=−4y+4
-x/-1 = -4y+4/-1 (Divide both sides by -1)
x=4y−4
Step: Substitute 4y−4 for x in −x+3y=1:
−x+3y=1
−(4y−4)+3y=1
−y+4=1(Simplify both sides of the equation)
−y+4+−4=1+−4(Add -4 to both sides)
−y=−3
-y/-1 = -3/-1 (Divide both sides by -1)
y=3
Step: Substitute 3 for y in x=4y−4:
=4y−4
x=(4)(3)−4
x=8(Simplify both sides of the equation)
<u>Answer:</u>
x=8 and y=3
Answer:
The length of rectangle is 6 units and the width is 1.5 units
Step-by-step explanation:
Let
L -----> the length of rectangle
W ----> the width of rectangle
we know that
The area of rectangle is equal to

we have

so
-----> equation A
A rectangle width is one fourth it’s length
so
----> equation B
substitute equation B in equation A and solve for L


take square root both sides

Find the value of W


The two expressions are equivalent because they have the same value regardless of the number of substituted in for y
The correct graph is the last one
x -3<-12
x<-12+3
x<-9
Answer:
That depends on which operations you want to do first. The order of operations affect to outcome of the equation.
In this case:
15 - (3 x 4) + 9 = 12