4a+6b=30

To solve the equation 4a + 6b = 30, we need to find the values of 'a' and 'b' that satisfy the equation.

Step 1: Let's rearrange the equation by isolating one variable: 4a + 6b = 30

Subtract 4a from both sides: 6b = 30 - 4a

Step 2: Now we can solve for 'b' by isolating it: Divide both sides of the equation by 6: b = (30 - 4a) / 6

So the expression for 'b' is (30 - 4a) / 6.

Step 3: Now let's find the value of 'a' using a value for 'b'. Let's say 'b' equals 3. Plugging this value into our expression for 'b', we have: b = (30 - 4a) / 6 3 = (30 - 4a) / 6

Step 4: Multiply both sides of the equation by 6 to get rid of the fraction: 3 * 6 = 30 - 4a

Simplify: 18 = 30 - 4a

Step 5: Subtract 30 from both sides of the equation: 18 - 30 = -4a

Simplify: -12 = -4a

Step 6: Divide both sides of the equation by -4: -12/-4 = -4a/-4

Simplify: 3 = a

So when 'b' equals 3, 'a' equals 3.

Therefore, the solution to the equation 4a + 6b = 30 is a = 3 and b = 3.