Atriangle has the following side lengths: x - 2, x, and 3x + 1. another triangle has the following side lengths: 2x - 5, x + 4, 6x - 7. if the perimeters of the two triangles are equal, what is x?

Since we know that the perimeters are equal, we can make an equation where the sum of the side lengths of one triangle equal the sum of the side lengths of the other triangle. This yields (x-2)+(x)+(3x+1)=(2x-5)+(x+4)+(6x-7). If we combine like turns, the equation becomes 5x-1=9x-8. We can use the subtraction property of equality to isolate the x and the integers by saying 9x-5x=-1-(-8). Simplifying this gives 4x=7 or x=1.75

Hope this helps.

(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

answer: its c because when it has a magnet next to it it will move away from the mixture. hope this

step-by-step explanation: