Solve the system:

10r-4t=6

7r + 5t=12

t=1

r=1

Step-by-step explanation:

10r-4t=6 equation 1

7r + 5t=12 equation 2

using equation 1 we have:

10r-4t=6

10r = 6+4t

r = (6+4t) / 10 equation 3

using equation 3 in equation 2 we have:

7 ((6+4t) / 10)) + 5t=12

4.2 + 2.8t + 5t = 12

7.8t = 12-4.2

7.8t = 7.8

t = 7.8/7.8

t=1

so we have:

r = (6+4 (1)) / 10

r = 10/10

r=1