How many solutions does this system have? y = 5 x minus 1. y = negative 3 x + 7. the system has solution(s).

there is only 1 solution

Step-by-step explanation:

Given

y = 5x  -  1 (1)

y = -3x + 7(2)

Observation 1:

Both are linear equations (i.e straight lines)

Observation 2:

We can see that both lines have different slopes.

for (1), slope, m = 5

for (2), slope, m = -3

this means that both the straight lines will intersect each other at only 1 point.

Hence we can conclude that there is only 1 solution

Only one solution: (1,4)

Step-by-step explanation:

y = 5x - 1

y = -3x + 7

5x - 1 = -3x + 7

8x = 8

x = 1

y = 5(1) - 1

y = 4

Only one solution: (1,4)

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0