6y 10+4y subtract 4y from each side 2y 10 divide both sides by 2 y = 5
To find the x-intercept for 5x - 4y = 18, plug in a 0 for the y value and solve for x. 5x - 4(0) = 18 5x = 18 x = 18/5 or 3.6 The line will hit the x-axis at (3.6,0)
x=3 y=9 7x + 4y =? (7 * 3) + (4 * 9) = 57 Remember always multiply/divide before you add/subtract
12-4y=y-3 (subtract 12 from both sides) -4y=y-15 (subtract y from both sides) -5y=-15 (multiply both sides by -1 to make them positive) 5y=15 (divide by 5) y=3
4y -2 = 6 4y = 6 + 2 4y = 8 y = 2
4y + 228 = 352 subtract 228 to both sides 4y = 124 divide by 4 to both sides y = 31
6y 10+4y subtract 4y from each side 2y 10 divide both sides by 2 y = 5
To find the x-intercept for 5x - 4y = 18, plug in a 0 for the y value and solve for x. 5x - 4(0) = 18 5x = 18 x = 18/5 or 3.6 The line will hit the x-axis at (3.6,0)
x=3 y=9 7x + 4y =? (7 * 3) + (4 * 9) = 57 Remember always multiply/divide before you add/subtract
5y + 1 = 4y - 1 Subtract 4y from both sides of the equation. y + 1 = -1. Add 1 to both sides of the equation. y + 2 = 0 Subtract 2 from both sides of the equation. y = -2
12-4y=y-3 (subtract 12 from both sides) -4y=y-15 (subtract y from both sides) -5y=-15 (multiply both sides by -1 to make them positive) 5y=15 (divide by 5) y=3
y = -32 6y + 22 = 4y - 42 subtract -4y from both sides 2y + 22 = -42 subtract 22 from both sides 2y = -64 Divide both sides by 2 to get y by itself y= -32
3x + 4y = 12 Subtract 3x from each side 4y = 12 - 3x Divide by 4 on each side y = 3 - .75x The slope is what is multiplied by "x" or -.75
Subtract: 3x - 3x - 4y - 2y = 30 - 6 ie -6y = 24 so y = -4 and x = 14/3
3y - 7 + y + 27 = 6y + 20 - 4y Collect terms: 4y + 20 = 2y + 20 Subtract 20 4y = 2y The only way that can happen is if y = 0
5y - 3 = 4 + 9y Subtract 5y from both sides: -3 = 4 + 4y Subtract 4 from both sides: -7 = 4y Divide both sides by 4: -7/4 = y
First rearrange these simultaneous equations in the form of: 7x-4y = 26 5x-4y = 14 Subtract the bottom equation from the top equation remembering that a - - is equal to a plus. So, -4y - - 4y = 0 2x = 12 and therefore it follows that x = 6 Substitute the value of x into the original equations to find the value of y: Therefore: x = 6 and y = 4