The number of boys in the tennis club is 10 more than half the number of girls. there are 30 boys in the tennis club. all together, how many boys and girls are in the club.

36

Step-by-step explanation:

Number of boys = 30

also, Number of boys = 10(number of girls/2)

∴ 30 = 10(number of girls/2)

30×2 = 10(number of girls)

⇒ number of girls =

⇒ number of girls = 6

Total number of girls and boys = 30 + 6 = 36

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step-by-step explanation: ; )

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3