Answer:
x=2 and y=0
Step-by-step explanation:
Rewrite equations:
y=−4x+8;y=
3
5
x+
−6
5
Step: Solvey=−4x+8for y:
y=−4x+8
Step: Substitute−4x+8foryiny=
3
5
x+
−6
5
:
y=
3
5
x+
−6
5
−4x+8=
3
5
x+
−6
5
−4x+8+
−3
5
x=
3
5
x+
−6
5
+
−3
5
x(Add (-3)/5x to both sides)
−23
5
x+8=
−6
5
−23
5
x+8+−8=
−6
5
+−8(Add -8 to both sides)
−23
5
x=
−46
5
−23
5
x
−23
5
=
−46
5
−23
5
(Divide both sides by (-23)/5)
x=2
Step: Substitute2forxiny=−4x+8:
y=−4x+8
y=(−4)(2)+8
y=0(Simplify both sides of the equation)
So my opinion that will be dilated b(-4,8) by a scale of 2 about the origin will result the point of (-6,10)
other leg = 12 cm
using Pythagoras' identity with x as the side to be found, then
x = √(13² - 5² ) = √(169 - 25 ) =√144 = 12
Answer:
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain."
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♡ hope it helps。 ♡
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Step-by-step explanation:
Start by getting one of the equations in terms of one variable, in this case lets put the first equation in terms of y
2x+y=3 ---> y=3-2x
now we plug that into the second equation
5x-2y=12 ---> 5x-2(3-2x)=12
we can then multiply and simplify
5x-2(3-2x)=12 ---> 5x-6+4x=12 ---> 9x-6=12 ---> 9x=18 ---> x=2
we can now plug x=2 into an equation to solve for y
2(2)+y=3 ---> 4+y=3 ---> y=-1
