How to solve :
y = 6x-5
y = -x+9
by substitution

(2,7)

Step-by-step explanation:

y = 6x - 5

y = -x + 9

ok...so y = 6x - 5...so sub 6x - 5 in for y back in the 2nd equation

6x - 5 = -x + 9add x to both sides

6x + x - 5 = 9add 9 to both sides

6x + x = 9 + 5 combine like terms

7x = 14divide both sides by 7

x = 14/7...reduce

x = 2

now sub 2 in for x in either of ur original equations and find y

y = 6x - 5

y = 6(2) - 5

y = 12 - 5

y = 7

and u can check ur answer by subbing ur answer back into either of both of the original equations

y = -x + 9

7 = -2 + 9

7 = 7 (correct)...so it checks out

ur solution is : x = 2 and y = 7 or (2,7)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

00

step-by-step explanation: