Using substitution y= 5x-8. 4x+3y=33

A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.

For example we have y=5x−8 and we can substitute this value of y in the other equation

4x+3y=33

4x+3(5x−8)=33 we can solve now for x

4x+15x−24=33

19x=33+24

19x=57

x=5719=3.

y can be obtained from the first equation

y=5x−8

y=5⋅3−8=15−8=7

Then x=3 and y=7.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

the answer is c 150

step-by-step explanation: