The equations {x-2y = 6,3x + 2Y = 10 have the same solution as {ax + by = 7, BX + ay = 2. Find the value of a + B ditto

The equations {x-2y = 6,3x + 2Y = 10 have the same solution as {ax + by = 7, BX + ay = 2. Find the value of a + B ditto


x-2y=6,.1
3x+2y=10.2
1 + 2
4x=16
x=4
By substituting x = 4 into 1, we get
4-2y=6
y=-1
ax+by=7,.3
bx+ay=2.4
3 + 4
(a+b)x+(a+b)y=9
(a+b)(x+y)=9.5
Substituting x = 4, y = - 1 into 5, we get
(a+b)(4-1)=9
a+b=3



Solving equations 2x-4x = 6 3x + 2Y = 17
Wait for the answer.. Because it's self-study seven times... I don't understand...


Wrong number. It's 2x-4y = 6
2x-4y=6 (1)
3x+2y=17 (2)
(1) Formula + (2) formula * 2
We get 2x + 6x = 6 + 17 * 2
8x=40
x=5
Substituting x = 5 into (1), then y = 1
So x = 5, y = 1



The equations ay BX = 4ay + BX = 2 and 2Y + 3x = 44y-5x = - 6 have the same solution, then a = 1___ ,b= ___ .


2Y + 3x = 4, 1 4y-5x = - 6, 2, 1 × 2 - 2: 11x = 14, i.e. x = 1411, substituting x = 1411 into 1: 2Y + 4211 = 4, i.e. y = 111, substituting x = 1411, y = 111 into the first equation group: 111a-1411b = 4111a + 1411b = 2, sorting out: a-14b = 44 & nbsp; α a + 14b = 22 & nbsp; β, α + β: 2A = 66, i.e. a = 33, β - α: 28b = - 22, i.e. B = - 1114, so the answer is: 33; - 1114



The equations {ay by = 4, ay + BX = 2 and {2Y + 3x = 4, 4y-5x = - 6 have the same solution, find the value of a and B!


{2y+3x=4,4y-5x=-6;
11x=14;x=14/11;
y=1/11;
a-14b=44;
a+14b=22;
a=33;
b=-11/14;