Answer:
To solve the equations ax + by = c and bx – ay = 0, we can use the substitution method.
First, we will solve the second equation for y:
bx – ay = 0
y = (bx)/a
Now, we will substitute y into the first equation:
ax + by = c
ax + b(bx/a) = c
ax + b²x/a = c
(a + b²/a)x = c
x = c/(a + b²/a)
Now, we can substitute x into the second equation to solve for y:
b(c/(a + b²/a)) – a(y) = 0
by = ac/(a + b²/a)
y = ac/(a + b²/a)b
Therefore, the solutions to the equations ax + by = c and bx – ay = 0 are .....x = c/(a + b²/a) and y = ac/(a + b²/a)b.
Hope it helps you bro! :>
Therefore, the solutions is ax + by = c and bx – ay = 0 are .....x = c/(a + b²/a) and y = ac/(a + b²/a)b.
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Verified answer
Answer:
To solve the equations ax + by = c and bx – ay = 0, we can use the substitution method.
First, we will solve the second equation for y:
bx – ay = 0
y = (bx)/a
Now, we will substitute y into the first equation:
ax + by = c
ax + b(bx/a) = c
ax + b²x/a = c
(a + b²/a)x = c
x = c/(a + b²/a)
Now, we can substitute x into the second equation to solve for y:
bx – ay = 0
b(c/(a + b²/a)) – a(y) = 0
by = ac/(a + b²/a)
y = ac/(a + b²/a)b
Therefore, the solutions to the equations ax + by = c and bx – ay = 0 are .....x = c/(a + b²/a) and y = ac/(a + b²/a)b.
Hope it helps you bro! :>
Answer:
bx – ay = 0
y = (bx)/a
ax + by = c
ax + b(bx/a) = c
ax + b²x/a = c
(a + b²/a)x = c
x = c/(a + b²/a)
bx – ay = 0
b(c/(a + b²/a)) – a(y) = 0
by = ac/(a + b²/a)
y = ac/(a + b²/a)b
Therefore, the solutions is ax + by = c and bx – ay = 0 are .....x = c/(a + b²/a) and y = ac/(a + b²/a)b.