The sum of two number is 18. 5 times the first number subtracted from 4/7bof the second number is 14. Find the number

Required numbers are x = -0.5 and y =18.6

Step-by-step explanation:

Let the two numbers be x and y

Their sum is 18 i.e x+y= 18

4/7y-5x= 14

We need to find the numbers x and y

Solving both equations to find value of x and y

From equation 1 we can find value of x and put in equation 2 i.e

x=18-y

Putting the value of x in equation 2

Now finding x

So, Required numbers are x = -0.5 and y =18.6

(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