Answer: x = 3 and y = 1
Step-by-step explanation:
y = - x + 4 ............... equation 1
y = x - 2 ............. equation 2
Solving the linear equation by substitution method , we have :
substitute equation 2 into equation 1 , that is
x - 2 = - x + 4
Add 2 to both sides , we have
x = -x + 4 + 2
Add x to both sides , we have
2x = 6
divide through by 2
x = 3
Substitute x = 3 into equation 2 to find the value of y , we have
y = x - 2
y = 3 - 2
y = 1
Therefore : x = 3 and y = 1
Answer:
3 hours walking dogs and 5 hours landscaping
Step-by-step explanation:
From my calculations I got :
- 24 pints of blue paint
- 16 pints of red paint
Step-by-step explanation:
f(3)=?
f(x)=2x+5
put x=3,
f(3)=2(3)+5=6+5=11
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g(2)=?
g(x)=x^2-3
put x=2,
g(2)=2^2-3=4-3=1
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g(f(-1))=?
g(x)=x^2-3
and f(-1)=2(-1)+5= -2+5=3
so g(f(-1))=3^2-3=9-3=6
----------------
f(g(-1))=?
f(x)=2x+5
g(x)=g(-1)=(-1)^2-3=1-3= -2
f(g(-1))=2(-2)+5= -4+5=1
----------------
g(f(x))=?
g(x)= x^2-3
put x=f(x),
g(f(x))=f(x)^2-3=(2x+5)^2-3=4x+25+20x-3=24x+25
