Problema Solution

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: f(x) when x=-10

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: x when g(x)=1

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: f(4)

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: g(0)

is the ordered pair a solution of the linear system ?

(1,-1)

2x-y=3

4x+2y=2

is the ordered pair a solution of the linear system ?

(-2,15)

y=-3x+9

y=5x+25

is the ordered pair a solution of the linear system ?

(0,3)

4x-3y=9

x+6y=18

Answer provided by our tutors

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: f(x) when x=-10

f(-10) = -(-10)-5 = 10-5 = 5

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: x when g(x)=1

g(x) = 1 = 2x + 3

2x = -3+1 

2x = -2

x = -1

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: f(4)

f(4) = -4-5 = -9

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value: g(0)

g(0) = 2(0)+3 = 3

is the ordered pair a solution of the linear system ?

(1,-1)

2x-y=3

4x+2y=2

substituting the values: 2(1)-(-1) = 3 

4(1)+2(-1)=2

Yes, (1,-1) is a solution of the linear system

is the ordered pair a solution of the linear system ?

(-2,15)

y=-3x+9

y=5x+25

Substituting the values: 

15 = -3(-2)+9 

15 = 5(-2)+25

Yes, the ordered pair (-2, 15) is a solution of the system

is the ordered pair a solution of the linear system ?

(0,3)

4x-3y=9

x+6y=18

substituting the values, 

4(0) - 3(3)=9 --> false for this equation

0 + 6(3)= 18

Therefore, the ordered pair (0,3) is not a solution for the linear system