What is the value of y in the system shown?
y=12x-3
y=-2x+4
Thanks
y=3
can you explain in details? Plz and thank you
12 x - 3 = 2 x + 4
10 x = 7
x = 7/10
y = 2(7/10) + 4
y = 14/10 + 4
y = 5.4
y = 12x - 3 ... (1)
y = -2x + 4 ... (2)
subtract (1) from (2)
14x - 7 = 0
14x = 7
x = 7/14 = 0.5
substitute 0.5 for x in (1)
y = 12(0.5) - 3
y = 6 - 3
y = 3
To find the value of y in the given system of equations, you need to solve the equations simultaneously. By equating the two expressions for y, you can determine the value of x, and then substitute that value back into either equation to find the corresponding value of y.
1. Start by equating the two expressions for y:
12x - 3 = -2x + 4
2. Simplify the equation:
Add 2x to both sides:
12x + 2x - 3 = -2x + 2x + 4
14x - 3 = 4
3. Add 3 to both sides:
14x - 3 + 3 = 4 + 3
14x = 7
4. Divide both sides by 14:
(14x)/14 = 7/14
x = 1/2
5. Substitute the value of x = 1/2 into either equation. Let's use the first equation:
y = 12 * (1/2) - 3
y = 6 - 3
y = 3
Therefore, the solution to the system of equations is x = 1/2 and y = 3.